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Finding the Fourth Proportional to 2,108.68, 3,162.72 and 721.96

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Solution

The fourth proportional to 2,108.68, 3,162.72 and 721.96 is: 1,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.68 : 3,162.72 = 721.96 : x
  2. Step 2: Convert to fraction form
    2,108.68/3,162.72 = 721.96/x
  3. Step 3: Cross multiply
    2,108.68x = 3,162.72 × 721.96
  4. Step 4: Simplify right side
    2,108.68x = 2,283,357.33
  5. Step 5: Solve for x
    x = 2,283,357.33/2,108.68
  6. Step 6: Final answer
    x = 1,082.84

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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.