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Finding the Fourth Proportional to 3,972.97, 5,960.16 and 1,634.26

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Solution

The fourth proportional to 3,972.97, 5,960.16 and 1,634.26 is: 2,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.97 : 5,960.16 = 1,634.26 : x
  2. Step 2: Convert to fraction form
    3,972.97/5,960.16 = 1,634.26/x
  3. Step 3: Cross multiply
    3,972.97x = 5,960.16 × 1,634.26
  4. Step 4: Simplify right side
    3,972.97x = 9,740,451.08
  5. Step 5: Solve for x
    x = 9,740,451.08/3,972.97
  6. Step 6: Final answer
    x = 2,451.68

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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.