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Finding the Fourth Proportional to 1,542.74, 2,314.20 and 1,179.76

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Solution

The fourth proportional to 1,542.74, 2,314.20 and 1,179.76 is: 1,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.74 : 2,314.20 = 1,179.76 : x
  2. Step 2: Convert to fraction form
    1,542.74/2,314.20 = 1,179.76/x
  3. Step 3: Cross multiply
    1,542.74x = 2,314.20 × 1,179.76
  4. Step 4: Simplify right side
    1,542.74x = 2,730,200.59
  5. Step 5: Solve for x
    x = 2,730,200.59/1,542.74
  6. Step 6: Final answer
    x = 1,769.71

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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.