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Finding the Fourth Proportional to 2,375.92, 3,562.12 and 1,142.16

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Solution

The fourth proportional to 2,375.92, 3,562.12 and 1,142.16 is: 1,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.92 : 3,562.12 = 1,142.16 : x
  2. Step 2: Convert to fraction form
    2,375.92/3,562.12 = 1,142.16/x
  3. Step 3: Cross multiply
    2,375.92x = 3,562.12 × 1,142.16
  4. Step 4: Simplify right side
    2,375.92x = 4,068,510.98
  5. Step 5: Solve for x
    x = 4,068,510.98/2,375.92
  6. Step 6: Final answer
    x = 1,712.39

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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.