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Finding the Fourth Proportional to 2,578.60, 3,869.28 and 2,439.22

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Solution

The fourth proportional to 2,578.60, 3,869.28 and 2,439.22 is: 3,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.60 : 3,869.28 = 2,439.22 : x
  2. Step 2: Convert to fraction form
    2,578.60/3,869.28 = 2,439.22/x
  3. Step 3: Cross multiply
    2,578.60x = 3,869.28 × 2,439.22
  4. Step 4: Simplify right side
    2,578.60x = 9,438,025.16
  5. Step 5: Solve for x
    x = 9,438,025.16/2,578.60
  6. Step 6: Final answer
    x = 3,660.14

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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.