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Finding the Fourth Proportional to 2,727.97, 4,093.17 and 996.19

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Solution

The fourth proportional to 2,727.97, 4,093.17 and 996.19 is: 1,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.97 : 4,093.17 = 996.19 : x
  2. Step 2: Convert to fraction form
    2,727.97/4,093.17 = 996.19/x
  3. Step 3: Cross multiply
    2,727.97x = 4,093.17 × 996.19
  4. Step 4: Simplify right side
    2,727.97x = 4,077,575.02
  5. Step 5: Solve for x
    x = 4,077,575.02/2,727.97
  6. Step 6: Final answer
    x = 1,494.73

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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.