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Finding the Fourth Proportional to 2,912.73, 4,369.04 and 721.46

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Solution

The fourth proportional to 2,912.73, 4,369.04 and 721.46 is: 1,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.73 : 4,369.04 = 721.46 : x
  2. Step 2: Convert to fraction form
    2,912.73/4,369.04 = 721.46/x
  3. Step 3: Cross multiply
    2,912.73x = 4,369.04 × 721.46
  4. Step 4: Simplify right side
    2,912.73x = 3,152,077.10
  5. Step 5: Solve for x
    x = 3,152,077.10/2,912.73
  6. Step 6: Final answer
    x = 1,082.17

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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.