Despite all the recent injuries, and the subsequent acquisitions and moving parts, the Red Sox still pulled out a 4-1 victory over the Tampa Bay Rays on Saturday afternoon at Fenway Park.

What has made all the transitions seemingly smooth so far has been a consistent core. Xander Bogaerts went 1 for 3 with a two-run homer, Dustin Pedroia went 1 for 3 with two RBIs, and starter Rick Porcello backed the offense with a one-run, seven-inning effort as the Sox put together their third straight win.

“You’re always going to need depth, and of late, the timing of the trades that we’ve made have been uncanny given the injuries that have cropped up,’’ said Sox manager John Farrell. “Whether it’s [Aaron] Hill, now [Brad] Ziegler, who will come on tomorrow with [Craig] Kimbrel’s injury, despite some of the moving parts, the main core of this team has remained dependable, healthy and continuing to perform at a high level. So despite some changes to the roster, we continue on and don’t miss a beat right now.’’

The Sox have now won five of their last six games. A come-from-behind win by the Baltimore Orioles over the Angels kept the Sox two games back in the AL East with one game left before the All-Star break. But after going 10-16 in June, the Sox have won six of eight to start July all while the roster’s undergone a makeover with the July 31 trade deadline creeping closer.

“Every team has that stuff, you know. They trade guys, they sign guys, stuff like that,’’ Bogaerts said. “It’s just a matter of their blending in with us, knowing what the team is about, knowing how they play the game and just appreciating the chance to play for the Red Sox.’’

Porcello came in with a streak of seven straight quality starts against the Rays and he kept that intact, holding the Rays to one run on six hits with five strikeouts.

The solo homer run he gave up to Brad Miller in the first inning on a 1-and-1 fastball was the 14th he’s allowed this season, but he never faced more than four hitters in an inning from that point on. The Rays went 0 for 7 with runners in scoring position, leaving five runners on base.

The 70 strikes he threw on 94 pitches was the best strike ratio of any of his starts this season. In three starts against the Rays this season, he’s 3-0 with a 2.25 ERA. He picked up his eighth win at Fenway this season, making him one of just three pitchers in the majors to go unbeaten in their first nine starts this season.

“I thought he had a really good mix of pitches throughout the seven innings of work,’’ Farrell said. “Good location overall. He did give up a couple of leadoff extra-base hits, but that’s when he was at his best. Two shutdown innings in those middle innings after Bogey’s two-run homer, then we build an inning with another couple runs and he continued to put up zeroes. The action to his sinker seemed to get better throughout the course of the day. He’s been so comfortable here at home and it showed up here again today with the quality of work.’’

The Sox had their own issues capitalizing on scoring opportunities, leaving eight runners on and going 1 for 9 with runners in scoring position. But Porcello kept the Sox offense in striking distance, and in the fourth inning they cashed in.

After a leadoff walk by Pedroia, Bogaerts found himself in an 0-and-2 hole when Rays starter Matt Moore gift-wrapped a fastball over the middle of the plate. Bogaerts launched it over the Monster for a two-run homer that gave the Sox a 2-1 lead.

An inning later, Pedroia lined a single to left that scored Sandy Leon and Mookie Betts, giving the Sox a 4-1 cushion.

Matt Barnes pitched a 1-2-3 eighth inning for his third straight scoreless appearance. Then, with Kimbrel out, Koji Uehara returned to the closer role that had been his for the previous three seasons.

After giving up a leadoff single to Evan Longoria, he got Logan Morrison to ground into a fielder’s choice, caught Steven Souza Jr. looking at a 3-and-2 fastball, and fanned Corey Dickerson on a 2-and-2 splitter to pick up his fourth save of the season.

“It doesn’t really matter with me,’’ Uehara said through an interpreter. “I have to get the result, whether what kind of innings that I’m pitching.’’

Low-scoring wins have been a rarity for the Sox this season. This was just the sixth time this season that the Sox pulled out a win scoring four runs or less.

The Sox are now 6-2 on their last homestand before the All-Star break. With changes coming quickly, meshing the new faces while keeping the core chemistry has been critical.

“There’s a couple veteran guys who have been around here for a while and they’re kind of the foundation and the rock that we all lean on,’’ Porcello said. “And they provide that and everybody that comes in here that’s new sees that and kind of acts accordingly.

Julian Benbow can be reached at jbenbow@globe.com.