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Finding the Fourth Proportional to 2,374.61, 3,562.38 and 731.25

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Solution

The fourth proportional to 2,374.61, 3,562.38 and 731.25 is: 1,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.61 : 3,562.38 = 731.25 : x
  2. Step 2: Convert to fraction form
    2,374.61/3,562.38 = 731.25/x
  3. Step 3: Cross multiply
    2,374.61x = 3,562.38 × 731.25
  4. Step 4: Simplify right side
    2,374.61x = 2,604,990.38
  5. Step 5: Solve for x
    x = 2,604,990.38/2,374.61
  6. Step 6: Final answer
    x = 1,097.02

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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.