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Finding the Fourth Proportional to 2,722.14, 4,082.27 and 773.82

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Solution

The fourth proportional to 2,722.14, 4,082.27 and 773.82 is: 1,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.14 : 4,082.27 = 773.82 : x
  2. Step 2: Convert to fraction form
    2,722.14/4,082.27 = 773.82/x
  3. Step 3: Cross multiply
    2,722.14x = 4,082.27 × 773.82
  4. Step 4: Simplify right side
    2,722.14x = 3,158,938.30
  5. Step 5: Solve for x
    x = 3,158,938.30/2,722.14
  6. Step 6: Final answer
    x = 1,160.46

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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.