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Finding the Fourth Proportional to 2,377.52, 3,566.24 and 734.04

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Solution

The fourth proportional to 2,377.52, 3,566.24 and 734.04 is: 1,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.52 : 3,566.24 = 734.04 : x
  2. Step 2: Convert to fraction form
    2,377.52/3,566.24 = 734.04/x
  3. Step 3: Cross multiply
    2,377.52x = 3,566.24 × 734.04
  4. Step 4: Simplify right side
    2,377.52x = 2,617,762.81
  5. Step 5: Solve for x
    x = 2,617,762.81/2,377.52
  6. Step 6: Final answer
    x = 1,101.05

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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.