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Finding the Fourth Proportional to 3,193.78, 4,791.28 and 1,001.92

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Solution

The fourth proportional to 3,193.78, 4,791.28 and 1,001.92 is: 1,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.78 : 4,791.28 = 1,001.92 : x
  2. Step 2: Convert to fraction form
    3,193.78/4,791.28 = 1,001.92/x
  3. Step 3: Cross multiply
    3,193.78x = 4,791.28 × 1,001.92
  4. Step 4: Simplify right side
    3,193.78x = 4,800,479.26
  5. Step 5: Solve for x
    x = 4,800,479.26/3,193.78
  6. Step 6: Final answer
    x = 1,503.07

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1.5x scale

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.