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Finding the Fourth Proportional to 2,082.73, 3,123.23 and 849.30

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Solution

The fourth proportional to 2,082.73, 3,123.23 and 849.30 is: 1,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.73 : 3,123.23 = 849.30 : x
  2. Step 2: Convert to fraction form
    2,082.73/3,123.23 = 849.30/x
  3. Step 3: Cross multiply
    2,082.73x = 3,123.23 × 849.30
  4. Step 4: Simplify right side
    2,082.73x = 2,652,559.24
  5. Step 5: Solve for x
    x = 2,652,559.24/2,082.73
  6. Step 6: Final answer
    x = 1,273.60

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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.