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Finding the Fourth Proportional to 2,862.81, 3,951.99 and 2,082.78

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Solution

The fourth proportional to 2,862.81, 3,951.99 and 2,082.78 is: 2,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.81 : 3,951.99 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    2,862.81/3,951.99 = 2,082.78/x
  3. Step 3: Cross multiply
    2,862.81x = 3,951.99 × 2,082.78
  4. Step 4: Simplify right side
    2,862.81x = 8,231,125.73
  5. Step 5: Solve for x
    x = 8,231,125.73/2,862.81
  6. Step 6: Final answer
    x = 2,875.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.