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Finding the Fourth Proportional to 4,257.68, 6,387.28 and 1,660.48

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Solution

The fourth proportional to 4,257.68, 6,387.28 and 1,660.48 is: 2,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.68 : 6,387.28 = 1,660.48 : x
  2. Step 2: Convert to fraction form
    4,257.68/6,387.28 = 1,660.48/x
  3. Step 3: Cross multiply
    4,257.68x = 6,387.28 × 1,660.48
  4. Step 4: Simplify right side
    4,257.68x = 10,605,950.69
  5. Step 5: Solve for x
    x = 10,605,950.69/4,257.68
  6. Step 6: Final answer
    x = 2,491.02

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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.