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Finding the Fourth Proportional to 2,591.60, 3,882.36 and 2,314.64

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Solution

The fourth proportional to 2,591.60, 3,882.36 and 2,314.64 is: 3,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.60 : 3,882.36 = 2,314.64 : x
  2. Step 2: Convert to fraction form
    2,591.60/3,882.36 = 2,314.64/x
  3. Step 3: Cross multiply
    2,591.60x = 3,882.36 × 2,314.64
  4. Step 4: Simplify right side
    2,591.60x = 8,986,265.75
  5. Step 5: Solve for x
    x = 8,986,265.75/2,591.60
  6. Step 6: Final answer
    x = 3,467.46

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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.