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Finding the Fourth Proportional to 2,182.43, 3,274.98 and 865.96

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Solution

The fourth proportional to 2,182.43, 3,274.98 and 865.96 is: 1,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.43 : 3,274.98 = 865.96 : x
  2. Step 2: Convert to fraction form
    2,182.43/3,274.98 = 865.96/x
  3. Step 3: Cross multiply
    2,182.43x = 3,274.98 × 865.96
  4. Step 4: Simplify right side
    2,182.43x = 2,836,001.68
  5. Step 5: Solve for x
    x = 2,836,001.68/2,182.43
  6. Step 6: Final answer
    x = 1,299.47

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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.