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Finding the Fourth Proportional to 3,169.68, 4,372.92 and 1,843.14

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Solution

The fourth proportional to 3,169.68, 4,372.92 and 1,843.14 is: 2,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.68 : 4,372.92 = 1,843.14 : x
  2. Step 2: Convert to fraction form
    3,169.68/4,372.92 = 1,843.14/x
  3. Step 3: Cross multiply
    3,169.68x = 4,372.92 × 1,843.14
  4. Step 4: Simplify right side
    3,169.68x = 8,059,903.77
  5. Step 5: Solve for x
    x = 8,059,903.77/3,169.68
  6. Step 6: Final answer
    x = 2,542.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.