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Finding the Fourth Proportional to 1,231.40, 1,847.41 and 819.52

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Solution

The fourth proportional to 1,231.40, 1,847.41 and 819.52 is: 1,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.40 : 1,847.41 = 819.52 : x
  2. Step 2: Convert to fraction form
    1,231.40/1,847.41 = 819.52/x
  3. Step 3: Cross multiply
    1,231.40x = 1,847.41 × 819.52
  4. Step 4: Simplify right side
    1,231.40x = 1,513,982.78
  5. Step 5: Solve for x
    x = 1,513,982.78/1,231.40
  6. Step 6: Final answer
    x = 1,229.48

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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.