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Finding the Fourth Proportional to 2,659.44, 3,988.80 and 711.78

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Solution

The fourth proportional to 2,659.44, 3,988.80 and 711.78 is: 1,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.44 : 3,988.80 = 711.78 : x
  2. Step 2: Convert to fraction form
    2,659.44/3,988.80 = 711.78/x
  3. Step 3: Cross multiply
    2,659.44x = 3,988.80 × 711.78
  4. Step 4: Simplify right side
    2,659.44x = 2,839,148.06
  5. Step 5: Solve for x
    x = 2,839,148.06/2,659.44
  6. Step 6: Final answer
    x = 1,067.57

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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.