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Finding the Fourth Proportional to 2,082.67, 3,123.15 and 987.37

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Solution

The fourth proportional to 2,082.67, 3,123.15 and 987.37 is: 1,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.67 : 3,123.15 = 987.37 : x
  2. Step 2: Convert to fraction form
    2,082.67/3,123.15 = 987.37/x
  3. Step 3: Cross multiply
    2,082.67x = 3,123.15 × 987.37
  4. Step 4: Simplify right side
    2,082.67x = 3,083,704.62
  5. Step 5: Solve for x
    x = 3,083,704.62/2,082.67
  6. Step 6: Final answer
    x = 1,480.65

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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.