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Finding the Fourth Proportional to 1,942.71, 2,909.50 and 1,358.29

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Solution

The fourth proportional to 1,942.71, 2,909.50 and 1,358.29 is: 2,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.71 : 2,909.50 = 1,358.29 : x
  2. Step 2: Convert to fraction form
    1,942.71/2,909.50 = 1,358.29/x
  3. Step 3: Cross multiply
    1,942.71x = 2,909.50 × 1,358.29
  4. Step 4: Simplify right side
    1,942.71x = 3,951,944.76
  5. Step 5: Solve for x
    x = 3,951,944.76/1,942.71
  6. Step 6: Final answer
    x = 2,034.24

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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.