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Finding the Fourth Proportional to 3,193.62, 4,786.17 and 1,244.76

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Solution

The fourth proportional to 3,193.62, 4,786.17 and 1,244.76 is: 1,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.62 : 4,786.17 = 1,244.76 : x
  2. Step 2: Convert to fraction form
    3,193.62/4,786.17 = 1,244.76/x
  3. Step 3: Cross multiply
    3,193.62x = 4,786.17 × 1,244.76
  4. Step 4: Simplify right side
    3,193.62x = 5,957,632.97
  5. Step 5: Solve for x
    x = 5,957,632.97/3,193.62
  6. Step 6: Final answer
    x = 1,865.48

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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.