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Finding the Fourth Proportional to 1,432.32, 2,146.08 and 781.92

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Solution

The fourth proportional to 1,432.32, 2,146.08 and 781.92 is: 1,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.32 : 2,146.08 = 781.92 : x
  2. Step 2: Convert to fraction form
    1,432.32/2,146.08 = 781.92/x
  3. Step 3: Cross multiply
    1,432.32x = 2,146.08 × 781.92
  4. Step 4: Simplify right side
    1,432.32x = 1,678,062.87
  5. Step 5: Solve for x
    x = 1,678,062.87/1,432.32
  6. Step 6: Final answer
    x = 1,171.57

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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.