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Finding the Fourth Proportional to 2,374.78, 3,562.72 and 731.29

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Solution

The fourth proportional to 2,374.78, 3,562.72 and 731.29 is: 1,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.78 : 3,562.72 = 731.29 : x
  2. Step 2: Convert to fraction form
    2,374.78/3,562.72 = 731.29/x
  3. Step 3: Cross multiply
    2,374.78x = 3,562.72 × 731.29
  4. Step 4: Simplify right side
    2,374.78x = 2,605,374.43
  5. Step 5: Solve for x
    x = 2,605,374.43/2,374.78
  6. Step 6: Final answer
    x = 1,097.10

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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.