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Finding the Fourth Proportional to 2,642.64, 3,960.27 and 2,250.60

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Solution

The fourth proportional to 2,642.64, 3,960.27 and 2,250.60 is: 3,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.64 : 3,960.27 = 2,250.60 : x
  2. Step 2: Convert to fraction form
    2,642.64/3,960.27 = 2,250.60/x
  3. Step 3: Cross multiply
    2,642.64x = 3,960.27 × 2,250.60
  4. Step 4: Simplify right side
    2,642.64x = 8,912,983.66
  5. Step 5: Solve for x
    x = 8,912,983.66/2,642.64
  6. Step 6: Final answer
    x = 3,372.76

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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.