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Finding the Fourth Proportional to 3,192.62, 4,788.92 and 820.70

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Solution

The fourth proportional to 3,192.62, 4,788.92 and 820.70 is: 1,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.62 : 4,788.92 = 820.70 : x
  2. Step 2: Convert to fraction form
    3,192.62/4,788.92 = 820.70/x
  3. Step 3: Cross multiply
    3,192.62x = 4,788.92 × 820.70
  4. Step 4: Simplify right side
    3,192.62x = 3,930,279.13
  5. Step 5: Solve for x
    x = 3,930,279.13/3,192.62
  6. Step 6: Final answer
    x = 1,231.05

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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.