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Finding the Fourth Proportional to 2,709.44, 4,067.52 and 2,696.96

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Solution

The fourth proportional to 2,709.44, 4,067.52 and 2,696.96 is: 4,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.44 : 4,067.52 = 2,696.96 : x
  2. Step 2: Convert to fraction form
    2,709.44/4,067.52 = 2,696.96/x
  3. Step 3: Cross multiply
    2,709.44x = 4,067.52 × 2,696.96
  4. Step 4: Simplify right side
    2,709.44x = 10,969,938.74
  5. Step 5: Solve for x
    x = 10,969,938.74/2,709.44
  6. Step 6: Final answer
    x = 4,048.78

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