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Finding the Fourth Proportional to 2,912.82, 4,369.17 and 721.56

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Solution

The fourth proportional to 2,912.82, 4,369.17 and 721.56 is: 1,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.82 : 4,369.17 = 721.56 : x
  2. Step 2: Convert to fraction form
    2,912.82/4,369.17 = 721.56/x
  3. Step 3: Cross multiply
    2,912.82x = 4,369.17 × 721.56
  4. Step 4: Simplify right side
    2,912.82x = 3,152,618.31
  5. Step 5: Solve for x
    x = 3,152,618.31/2,912.82
  6. Step 6: Final answer
    x = 1,082.33

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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.