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Finding the Fourth Proportional to 2,591.40, 3,880.80 and 2,462.21

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Solution

The fourth proportional to 2,591.40, 3,880.80 and 2,462.21 is: 3,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.40 : 3,880.80 = 2,462.21 : x
  2. Step 2: Convert to fraction form
    2,591.40/3,880.80 = 2,462.21/x
  3. Step 3: Cross multiply
    2,591.40x = 3,880.80 × 2,462.21
  4. Step 4: Simplify right side
    2,591.40x = 9,555,325.16
  5. Step 5: Solve for x
    x = 9,555,325.16/2,591.40
  6. Step 6: Final answer
    x = 3,687.32

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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.