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Finding the Fourth Proportional to 2,108.39, 3,162.17 and 721.61

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Solution

The fourth proportional to 2,108.39, 3,162.17 and 721.61 is: 1,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.39 : 3,162.17 = 721.61 : x
  2. Step 2: Convert to fraction form
    2,108.39/3,162.17 = 721.61/x
  3. Step 3: Cross multiply
    2,108.39x = 3,162.17 × 721.61
  4. Step 4: Simplify right side
    2,108.39x = 2,281,834.07
  5. Step 5: Solve for x
    x = 2,281,834.07/2,108.39
  6. Step 6: Final answer
    x = 1,082.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.