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Finding the Fourth Proportional to 2,354.24, 3,531.20 and 622.72

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Solution

The fourth proportional to 2,354.24, 3,531.20 and 622.72 is: 934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.24 : 3,531.20 = 622.72 : x
  2. Step 2: Convert to fraction form
    2,354.24/3,531.20 = 622.72/x
  3. Step 3: Cross multiply
    2,354.24x = 3,531.20 × 622.72
  4. Step 4: Simplify right side
    2,354.24x = 2,198,948.86
  5. Step 5: Solve for x
    x = 2,198,948.86/2,354.24
  6. Step 6: Final answer
    x = 934.04

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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.