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Finding the Fourth Proportional to 2,560.65, 3,839.03 and 1,327.26

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Solution

The fourth proportional to 2,560.65, 3,839.03 and 1,327.26 is: 1,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.65 : 3,839.03 = 1,327.26 : x
  2. Step 2: Convert to fraction form
    2,560.65/3,839.03 = 1,327.26/x
  3. Step 3: Cross multiply
    2,560.65x = 3,839.03 × 1,327.26
  4. Step 4: Simplify right side
    2,560.65x = 5,095,384.32
  5. Step 5: Solve for x
    x = 5,095,384.32/2,560.65
  6. Step 6: Final answer
    x = 1,989.88

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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.