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Finding the Fourth Proportional to 3,230.60, 4,845.04 and 1,380.80

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Solution

The fourth proportional to 3,230.60, 4,845.04 and 1,380.80 is: 2,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.60 : 4,845.04 = 1,380.80 : x
  2. Step 2: Convert to fraction form
    3,230.60/4,845.04 = 1,380.80/x
  3. Step 3: Cross multiply
    3,230.60x = 4,845.04 × 1,380.80
  4. Step 4: Simplify right side
    3,230.60x = 6,690,031.23
  5. Step 5: Solve for x
    x = 6,690,031.23/3,230.60
  6. Step 6: Final answer
    x = 2,070.83

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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.