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Finding the Fourth Proportional to 2,866.33, 4,297.17 and 1,016.43

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Solution

The fourth proportional to 2,866.33, 4,297.17 and 1,016.43 is: 1,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.33 : 4,297.17 = 1,016.43 : x
  2. Step 2: Convert to fraction form
    2,866.33/4,297.17 = 1,016.43/x
  3. Step 3: Cross multiply
    2,866.33x = 4,297.17 × 1,016.43
  4. Step 4: Simplify right side
    2,866.33x = 4,367,772.50
  5. Step 5: Solve for x
    x = 4,367,772.50/2,866.33
  6. Step 6: Final answer
    x = 1,523.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.