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Finding the Fourth Proportional to 2,462.36, 3,397.71 and 1,414.42

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Solution

The fourth proportional to 2,462.36, 3,397.71 and 1,414.42 is: 1,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.36 : 3,397.71 = 1,414.42 : x
  2. Step 2: Convert to fraction form
    2,462.36/3,397.71 = 1,414.42/x
  3. Step 3: Cross multiply
    2,462.36x = 3,397.71 × 1,414.42
  4. Step 4: Simplify right side
    2,462.36x = 4,805,785.79
  5. Step 5: Solve for x
    x = 4,805,785.79/2,462.36
  6. Step 6: Final answer
    x = 1,951.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.