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Finding the Fourth Proportional to 3,304.89, 4,952.93 and 1,744.53

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Solution

The fourth proportional to 3,304.89, 4,952.93 and 1,744.53 is: 2,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.89 : 4,952.93 = 1,744.53 : x
  2. Step 2: Convert to fraction form
    3,304.89/4,952.93 = 1,744.53/x
  3. Step 3: Cross multiply
    3,304.89x = 4,952.93 × 1,744.53
  4. Step 4: Simplify right side
    3,304.89x = 8,640,539.33
  5. Step 5: Solve for x
    x = 8,640,539.33/3,304.89
  6. Step 6: Final answer
    x = 2,614.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.