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Finding the Fourth Proportional to 3,149.50, 4,721.17 and 1,301.91

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Solution

The fourth proportional to 3,149.50, 4,721.17 and 1,301.91 is: 1,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.50 : 4,721.17 = 1,301.91 : x
  2. Step 2: Convert to fraction form
    3,149.50/4,721.17 = 1,301.91/x
  3. Step 3: Cross multiply
    3,149.50x = 4,721.17 × 1,301.91
  4. Step 4: Simplify right side
    3,149.50x = 6,146,538.43
  5. Step 5: Solve for x
    x = 6,146,538.43/3,149.50
  6. Step 6: Final answer
    x = 1,951.59

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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.