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Finding the Fourth Proportional to 2,474.43, 3,711.76 and 1,377.97

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Solution

The fourth proportional to 2,474.43, 3,711.76 and 1,377.97 is: 2,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.43 : 3,711.76 = 1,377.97 : x
  2. Step 2: Convert to fraction form
    2,474.43/3,711.76 = 1,377.97/x
  3. Step 3: Cross multiply
    2,474.43x = 3,711.76 × 1,377.97
  4. Step 4: Simplify right side
    2,474.43x = 5,114,681.20
  5. Step 5: Solve for x
    x = 5,114,681.20/2,474.43
  6. Step 6: Final answer
    x = 2,067.01

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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.