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Finding the Fourth Proportional to 2,082.21, 3,123.05 and 987.27

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Solution

The fourth proportional to 2,082.21, 3,123.05 and 987.27 is: 1,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.21 : 3,123.05 = 987.27 : x
  2. Step 2: Convert to fraction form
    2,082.21/3,123.05 = 987.27/x
  3. Step 3: Cross multiply
    2,082.21x = 3,123.05 × 987.27
  4. Step 4: Simplify right side
    2,082.21x = 3,083,288.64
  5. Step 5: Solve for x
    x = 3,083,288.64/2,082.21
  6. Step 6: Final answer
    x = 1,480.78

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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.