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Finding the Fourth Proportional to 3,481.60, 5,222.40 and 2,099.20

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Solution

The fourth proportional to 3,481.60, 5,222.40 and 2,099.20 is: 3,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.60 : 5,222.40 = 2,099.20 : x
  2. Step 2: Convert to fraction form
    3,481.60/5,222.40 = 2,099.20/x
  3. Step 3: Cross multiply
    3,481.60x = 5,222.40 × 2,099.20
  4. Step 4: Simplify right side
    3,481.60x = 10,962,862.08
  5. Step 5: Solve for x
    x = 10,962,862.08/3,481.60
  6. Step 6: Final answer
    x = 3,148.80

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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.