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Finding the Fourth Proportional to 2,082.71, 3,123.33 and 849.45

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Solution

The fourth proportional to 2,082.71, 3,123.33 and 849.45 is: 1,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.71 : 3,123.33 = 849.45 : x
  2. Step 2: Convert to fraction form
    2,082.71/3,123.33 = 849.45/x
  3. Step 3: Cross multiply
    2,082.71x = 3,123.33 × 849.45
  4. Step 4: Simplify right side
    2,082.71x = 2,653,121.20
  5. Step 5: Solve for x
    x = 2,653,121.20/2,082.71
  6. Step 6: Final answer
    x = 1,273.88

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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.