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Finding the Fourth Proportional to 2,067.96, 3,086.25 and 1,849.08

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Solution

The fourth proportional to 2,067.96, 3,086.25 and 1,849.08 is: 2,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.96 : 3,086.25 = 1,849.08 : x
  2. Step 2: Convert to fraction form
    2,067.96/3,086.25 = 1,849.08/x
  3. Step 3: Cross multiply
    2,067.96x = 3,086.25 × 1,849.08
  4. Step 4: Simplify right side
    2,067.96x = 5,706,723.15
  5. Step 5: Solve for x
    x = 5,706,723.15/2,067.96
  6. Step 6: Final answer
    x = 2,759.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.