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Finding the Fourth Proportional to 2,462.52, 3,398.12 and 1,414.64

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Solution

The fourth proportional to 2,462.52, 3,398.12 and 1,414.64 is: 1,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.52 : 3,398.12 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    2,462.52/3,398.12 = 1,414.64/x
  3. Step 3: Cross multiply
    2,462.52x = 3,398.12 × 1,414.64
  4. Step 4: Simplify right side
    2,462.52x = 4,807,116.48
  5. Step 5: Solve for x
    x = 4,807,116.48/2,462.52
  6. Step 6: Final answer
    x = 1,952.11

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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.