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Finding the Fourth Proportional to 2,659.42, 3,988.82 and 711.78

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Solution

The fourth proportional to 2,659.42, 3,988.82 and 711.78 is: 1,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.42 : 3,988.82 = 711.78 : x
  2. Step 2: Convert to fraction form
    2,659.42/3,988.82 = 711.78/x
  3. Step 3: Cross multiply
    2,659.42x = 3,988.82 × 711.78
  4. Step 4: Simplify right side
    2,659.42x = 2,839,162.30
  5. Step 5: Solve for x
    x = 2,839,162.30/2,659.42
  6. Step 6: Final answer
    x = 1,067.59

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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.