Home / 2,002.38-3,001.68-702.96

Finding the Fourth Proportional to 2,002.38, 3,001.68 and 702.96

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Solution

The fourth proportional to 2,002.38, 3,001.68 and 702.96 is: 1,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.38 : 3,001.68 = 702.96 : x
  2. Step 2: Convert to fraction form
    2,002.38/3,001.68 = 702.96/x
  3. Step 3: Cross multiply
    2,002.38x = 3,001.68 × 702.96
  4. Step 4: Simplify right side
    2,002.38x = 2,110,060.97
  5. Step 5: Solve for x
    x = 2,110,060.97/2,002.38
  6. Step 6: Final answer
    x = 1,053.78

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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.