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Finding the Fourth Proportional to 1,481.65, 2,217.81 and 1,016.71

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Solution

The fourth proportional to 1,481.65, 2,217.81 and 1,016.71 is: 1,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.65 : 2,217.81 = 1,016.71 : x
  2. Step 2: Convert to fraction form
    1,481.65/2,217.81 = 1,016.71/x
  3. Step 3: Cross multiply
    1,481.65x = 2,217.81 × 1,016.71
  4. Step 4: Simplify right side
    1,481.65x = 2,254,853.43
  5. Step 5: Solve for x
    x = 2,254,853.43/1,481.65
  6. Step 6: Final answer
    x = 1,521.86

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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.