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Finding the Fourth Proportional to 3,179.67, 4,387.82 and 1,853.43

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Solution

The fourth proportional to 3,179.67, 4,387.82 and 1,853.43 is: 2,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.67 : 4,387.82 = 1,853.43 : x
  2. Step 2: Convert to fraction form
    3,179.67/4,387.82 = 1,853.43/x
  3. Step 3: Cross multiply
    3,179.67x = 4,387.82 × 1,853.43
  4. Step 4: Simplify right side
    3,179.67x = 8,132,507.96
  5. Step 5: Solve for x
    x = 8,132,507.96/3,179.67
  6. Step 6: Final answer
    x = 2,557.66

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