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Finding the Fourth Proportional to 2,451.89, 3,382.11 and 2,287.87

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Solution

The fourth proportional to 2,451.89, 3,382.11 and 2,287.87 is: 3,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.89 : 3,382.11 = 2,287.87 : x
  2. Step 2: Convert to fraction form
    2,451.89/3,382.11 = 2,287.87/x
  3. Step 3: Cross multiply
    2,451.89x = 3,382.11 × 2,287.87
  4. Step 4: Simplify right side
    2,451.89x = 7,737,819.55
  5. Step 5: Solve for x
    x = 7,737,819.55/2,451.89
  6. Step 6: Final answer
    x = 3,155.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.