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Finding the Fourth Proportional to 2,711.44, 4,067.16 and 763.64

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Solution

The fourth proportional to 2,711.44, 4,067.16 and 763.64 is: 1,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.44 : 4,067.16 = 763.64 : x
  2. Step 2: Convert to fraction form
    2,711.44/4,067.16 = 763.64/x
  3. Step 3: Cross multiply
    2,711.44x = 4,067.16 × 763.64
  4. Step 4: Simplify right side
    2,711.44x = 3,105,846.06
  5. Step 5: Solve for x
    x = 3,105,846.06/2,711.44
  6. Step 6: Final answer
    x = 1,145.46

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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.