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Finding the Fourth Proportional to 1,743.87, 2,616.66 and 819.39

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Solution

The fourth proportional to 1,743.87, 2,616.66 and 819.39 is: 1,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.87 : 2,616.66 = 819.39 : x
  2. Step 2: Convert to fraction form
    1,743.87/2,616.66 = 819.39/x
  3. Step 3: Cross multiply
    1,743.87x = 2,616.66 × 819.39
  4. Step 4: Simplify right side
    1,743.87x = 2,144,065.04
  5. Step 5: Solve for x
    x = 2,144,065.04/1,743.87
  6. Step 6: Final answer
    x = 1,229.49

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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.