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Finding the Fourth Proportional to 1,251.46, 1,877.60 and 1,142.92

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Solution

The fourth proportional to 1,251.46, 1,877.60 and 1,142.92 is: 1,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.46 : 1,877.60 = 1,142.92 : x
  2. Step 2: Convert to fraction form
    1,251.46/1,877.60 = 1,142.92/x
  3. Step 3: Cross multiply
    1,251.46x = 1,877.60 × 1,142.92
  4. Step 4: Simplify right side
    1,251.46x = 2,145,946.59
  5. Step 5: Solve for x
    x = 2,145,946.59/1,251.46
  6. Step 6: Final answer
    x = 1,714.75

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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.