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Finding the Fourth Proportional to 2,709.87, 4,067.33 and 1,067.55

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Solution

The fourth proportional to 2,709.87, 4,067.33 and 1,067.55 is: 1,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.87 : 4,067.33 = 1,067.55 : x
  2. Step 2: Convert to fraction form
    2,709.87/4,067.33 = 1,067.55/x
  3. Step 3: Cross multiply
    2,709.87x = 4,067.33 × 1,067.55
  4. Step 4: Simplify right side
    2,709.87x = 4,342,072.80
  5. Step 5: Solve for x
    x = 4,342,072.80/2,709.87
  6. Step 6: Final answer
    x = 1,602.32

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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.