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Finding the Fourth Proportional to 3,179.69, 4,763.38 and 1,788.80

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Solution

The fourth proportional to 3,179.69, 4,763.38 and 1,788.80 is: 2,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.69 : 4,763.38 = 1,788.80 : x
  2. Step 2: Convert to fraction form
    3,179.69/4,763.38 = 1,788.80/x
  3. Step 3: Cross multiply
    3,179.69x = 4,763.38 × 1,788.80
  4. Step 4: Simplify right side
    3,179.69x = 8,520,705.86
  5. Step 5: Solve for x
    x = 8,520,705.86/3,179.69
  6. Step 6: Final answer
    x = 2,679.73

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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.