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Finding the Fourth Proportional to 4,257.87, 6,386.78 and 1,660.81

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Solution

The fourth proportional to 4,257.87, 6,386.78 and 1,660.81 is: 2,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.87 : 6,386.78 = 1,660.81 : x
  2. Step 2: Convert to fraction form
    4,257.87/6,386.78 = 1,660.81/x
  3. Step 3: Cross multiply
    4,257.87x = 6,386.78 × 1,660.81
  4. Step 4: Simplify right side
    4,257.87x = 10,607,203.82
  5. Step 5: Solve for x
    x = 10,607,203.82/4,257.87
  6. Step 6: Final answer
    x = 2,491.20

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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.