Robbie Findley scored two goals and Yura Movsisyan added one in the victory, which tied Salt Lake with the Rapids in the standings.
Both teams could either make the playoffs or see their season come to an end, depending how the remainder of the weekend MLS schedule plays out.
Findley scored his first goal on a header 15 minutes into the match and made it 2-0 in the 33rd minute with a ball chipped over Rapids goalie Preston Burpo.
Movsisyan added his eighth goal of the season in the 85th minute.
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