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Finding the Fourth Proportional to 2,882.46, 4,324.11 and 1,033.17

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Solution

The fourth proportional to 2,882.46, 4,324.11 and 1,033.17 is: 1,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.46 : 4,324.11 = 1,033.17 : x
  2. Step 2: Convert to fraction form
    2,882.46/4,324.11 = 1,033.17/x
  3. Step 3: Cross multiply
    2,882.46x = 4,324.11 × 1,033.17
  4. Step 4: Simplify right side
    2,882.46x = 4,467,540.73
  5. Step 5: Solve for x
    x = 4,467,540.73/2,882.46
  6. Step 6: Final answer
    x = 1,549.91

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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.