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Finding the Fourth Proportional to 3,167.96, 4,372.72 and 1,842.26

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Solution

The fourth proportional to 3,167.96, 4,372.72 and 1,842.26 is: 2,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.96 : 4,372.72 = 1,842.26 : x
  2. Step 2: Convert to fraction form
    3,167.96/4,372.72 = 1,842.26/x
  3. Step 3: Cross multiply
    3,167.96x = 4,372.72 × 1,842.26
  4. Step 4: Simplify right side
    3,167.96x = 8,055,687.15
  5. Step 5: Solve for x
    x = 8,055,687.15/3,167.96
  6. Step 6: Final answer
    x = 2,542.86

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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.