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Finding the Fourth Proportional to 2,711.50, 4,067.26 and 659.50

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Solution

The fourth proportional to 2,711.50, 4,067.26 and 659.50 is: 989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.50 : 4,067.26 = 659.50 : x
  2. Step 2: Convert to fraction form
    2,711.50/4,067.26 = 659.50/x
  3. Step 3: Cross multiply
    2,711.50x = 4,067.26 × 659.50
  4. Step 4: Simplify right side
    2,711.50x = 2,682,357.97
  5. Step 5: Solve for x
    x = 2,682,357.97/2,711.50
  6. Step 6: Final answer
    x = 989.25

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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.