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Finding the Fourth Proportional to 2,721.89, 4,082.28 and 773.57

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Solution

The fourth proportional to 2,721.89, 4,082.28 and 773.57 is: 1,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.89 : 4,082.28 = 773.57 : x
  2. Step 2: Convert to fraction form
    2,721.89/4,082.28 = 773.57/x
  3. Step 3: Cross multiply
    2,721.89x = 4,082.28 × 773.57
  4. Step 4: Simplify right side
    2,721.89x = 3,157,929.34
  5. Step 5: Solve for x
    x = 3,157,929.34/2,721.89
  6. Step 6: Final answer
    x = 1,160.20

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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.