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Finding the Fourth Proportional to 2,164.92, 3,248.46 and 932.16

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Solution

The fourth proportional to 2,164.92, 3,248.46 and 932.16 is: 1,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.92 : 3,248.46 = 932.16 : x
  2. Step 2: Convert to fraction form
    2,164.92/3,248.46 = 932.16/x
  3. Step 3: Cross multiply
    2,164.92x = 3,248.46 × 932.16
  4. Step 4: Simplify right side
    2,164.92x = 3,028,084.47
  5. Step 5: Solve for x
    x = 3,028,084.47/2,164.92
  6. Step 6: Final answer
    x = 1,398.71

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1.5x scale

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.