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Finding the Fourth Proportional to 2,712.13, 4,067.73 and 763.88

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Solution

The fourth proportional to 2,712.13, 4,067.73 and 763.88 is: 1,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.13 : 4,067.73 = 763.88 : x
  2. Step 2: Convert to fraction form
    2,712.13/4,067.73 = 763.88/x
  3. Step 3: Cross multiply
    2,712.13x = 4,067.73 × 763.88
  4. Step 4: Simplify right side
    2,712.13x = 3,107,237.25
  5. Step 5: Solve for x
    x = 3,107,237.25/2,712.13
  6. Step 6: Final answer
    x = 1,145.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.