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Finding the Fourth Proportional to 2,659.41, 3,989.19 and 711.62

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Solution

The fourth proportional to 2,659.41, 3,989.19 and 711.62 is: 1,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.41 : 3,989.19 = 711.62 : x
  2. Step 2: Convert to fraction form
    2,659.41/3,989.19 = 711.62/x
  3. Step 3: Cross multiply
    2,659.41x = 3,989.19 × 711.62
  4. Step 4: Simplify right side
    2,659.41x = 2,838,767.44
  5. Step 5: Solve for x
    x = 2,838,767.44/2,659.41
  6. Step 6: Final answer
    x = 1,067.44

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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.