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Finding the Fourth Proportional to 2,581.90, 3,882.19 and 2,378.92

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Solution

The fourth proportional to 2,581.90, 3,882.19 and 2,378.92 is: 3,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.90 : 3,882.19 = 2,378.92 : x
  2. Step 2: Convert to fraction form
    2,581.90/3,882.19 = 2,378.92/x
  3. Step 3: Cross multiply
    2,581.90x = 3,882.19 × 2,378.92
  4. Step 4: Simplify right side
    2,581.90x = 9,235,419.43
  5. Step 5: Solve for x
    x = 9,235,419.43/2,581.90
  6. Step 6: Final answer
    x = 3,576.99

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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.