Rookie Simon Pagenaud missed the pole by .025 of a second to score his first Champ Car front row starting position next to Bourdais.
Bourdais chose to start from the left side of the track, opposite the traditional inside position leading to Cleveland's often frantic first turn.
An incident-filled race ended with a surprise winner in Paul Tracy, his first victory since the 2005 Cleveland Grand Prix and 31st overall.
Despite two early crashes which forced him to pit and have his crew replace his nose cone twice, Tracy managed to stay on the lead lap.
Not long later, Power was forced to pit under green on lap 75 to change a tire that failed because of a broken valve.