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Finding the Fourth Proportional to 3,952.80, 5,930.82 and 1,760.04

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Solution

The fourth proportional to 3,952.80, 5,930.82 and 1,760.04 is: 2,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.80 : 5,930.82 = 1,760.04 : x
  2. Step 2: Convert to fraction form
    3,952.80/5,930.82 = 1,760.04/x
  3. Step 3: Cross multiply
    3,952.80x = 5,930.82 × 1,760.04
  4. Step 4: Simplify right side
    3,952.80x = 10,438,480.43
  5. Step 5: Solve for x
    x = 10,438,480.43/3,952.80
  6. Step 6: Final answer
    x = 2,640.78

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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.