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Finding the Fourth Proportional to 2,720.13, 4,079.37 and 871.17

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Solution

The fourth proportional to 2,720.13, 4,079.37 and 871.17 is: 1,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.13 : 4,079.37 = 871.17 : x
  2. Step 2: Convert to fraction form
    2,720.13/4,079.37 = 871.17/x
  3. Step 3: Cross multiply
    2,720.13x = 4,079.37 × 871.17
  4. Step 4: Simplify right side
    2,720.13x = 3,553,824.76
  5. Step 5: Solve for x
    x = 3,553,824.76/2,720.13
  6. Step 6: Final answer
    x = 1,306.49

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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.