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Finding the Fourth Proportional to 3,171.55, 4,376.04 and 1,992.85

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Solution

The fourth proportional to 3,171.55, 4,376.04 and 1,992.85 is: 2,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.55 : 4,376.04 = 1,992.85 : x
  2. Step 2: Convert to fraction form
    3,171.55/4,376.04 = 1,992.85/x
  3. Step 3: Cross multiply
    3,171.55x = 4,376.04 × 1,992.85
  4. Step 4: Simplify right side
    3,171.55x = 8,720,791.31
  5. Step 5: Solve for x
    x = 8,720,791.31/3,171.55
  6. Step 6: Final answer
    x = 2,749.69

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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.