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Finding the Fourth Proportional to 2,489.24, 3,732.97 and 823.06

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Solution

The fourth proportional to 2,489.24, 3,732.97 and 823.06 is: 1,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.24 : 3,732.97 = 823.06 : x
  2. Step 2: Convert to fraction form
    2,489.24/3,732.97 = 823.06/x
  3. Step 3: Cross multiply
    2,489.24x = 3,732.97 × 823.06
  4. Step 4: Simplify right side
    2,489.24x = 3,072,439.13
  5. Step 5: Solve for x
    x = 3,072,439.13/2,489.24
  6. Step 6: Final answer
    x = 1,234.29

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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.