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Finding the Fourth Proportional to 2,118.12, 3,177.60 and 819.60

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Solution

The fourth proportional to 2,118.12, 3,177.60 and 819.60 is: 1,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.12 : 3,177.60 = 819.60 : x
  2. Step 2: Convert to fraction form
    2,118.12/3,177.60 = 819.60/x
  3. Step 3: Cross multiply
    2,118.12x = 3,177.60 × 819.60
  4. Step 4: Simplify right side
    2,118.12x = 2,604,360.96
  5. Step 5: Solve for x
    x = 2,604,360.96/2,118.12
  6. Step 6: Final answer
    x = 1,229.56

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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.