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Finding the Fourth Proportional to 3,141.79, 4,334.92 and 2,023.09

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Solution

The fourth proportional to 3,141.79, 4,334.92 and 2,023.09 is: 2,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.79 : 4,334.92 = 2,023.09 : x
  2. Step 2: Convert to fraction form
    3,141.79/4,334.92 = 2,023.09/x
  3. Step 3: Cross multiply
    3,141.79x = 4,334.92 × 2,023.09
  4. Step 4: Simplify right side
    3,141.79x = 8,769,933.30
  5. Step 5: Solve for x
    x = 8,769,933.30/3,141.79
  6. Step 6: Final answer
    x = 2,791.38

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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.