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Finding the Fourth Proportional to 4,766.68, 7,149.15 and 1,992.61

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Solution

The fourth proportional to 4,766.68, 7,149.15 and 1,992.61 is: 2,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.68 : 7,149.15 = 1,992.61 : x
  2. Step 2: Convert to fraction form
    4,766.68/7,149.15 = 1,992.61/x
  3. Step 3: Cross multiply
    4,766.68x = 7,149.15 × 1,992.61
  4. Step 4: Simplify right side
    4,766.68x = 14,245,467.78
  5. Step 5: Solve for x
    x = 14,245,467.78/4,766.68
  6. Step 6: Final answer
    x = 2,988.55

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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.