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Finding the Fourth Proportional to 3,142.85, 4,335.71 and 2,023.38

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Solution

The fourth proportional to 3,142.85, 4,335.71 and 2,023.38 is: 2,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.85 : 4,335.71 = 2,023.38 : x
  2. Step 2: Convert to fraction form
    3,142.85/4,335.71 = 2,023.38/x
  3. Step 3: Cross multiply
    3,142.85x = 4,335.71 × 2,023.38
  4. Step 4: Simplify right side
    3,142.85x = 8,772,778.78
  5. Step 5: Solve for x
    x = 8,772,778.78/3,142.85
  6. Step 6: Final answer
    x = 2,791.35

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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.