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Finding the Fourth Proportional to 2,165.31, 3,248.49 and 932.74

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Solution

The fourth proportional to 2,165.31, 3,248.49 and 932.74 is: 1,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.31 : 3,248.49 = 932.74 : x
  2. Step 2: Convert to fraction form
    2,165.31/3,248.49 = 932.74/x
  3. Step 3: Cross multiply
    2,165.31x = 3,248.49 × 932.74
  4. Step 4: Simplify right side
    2,165.31x = 3,029,996.56
  5. Step 5: Solve for x
    x = 3,029,996.56/2,165.31
  6. Step 6: Final answer
    x = 1,399.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.