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Finding the Fourth Proportional to 2,462, 3,397.56 and 1,414.40

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Solution

The fourth proportional to 2,462, 3,397.56 and 1,414.40 is: 1,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462 : 3,397.56 = 1,414.40 : x
  2. Step 2: Convert to fraction form
    2,462/3,397.56 = 1,414.40/x
  3. Step 3: Cross multiply
    2,462x = 3,397.56 × 1,414.40
  4. Step 4: Simplify right side
    2,462x = 4,805,508.86
  5. Step 5: Solve for x
    x = 4,805,508.86/2,462
  6. Step 6: Final answer
    x = 1,951.87

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Why These Related Problems?

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