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Finding the Fourth Proportional to 2,230.20, 3,342.60 and 996.30

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Solution

The fourth proportional to 2,230.20, 3,342.60 and 996.30 is: 1,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.20 : 3,342.60 = 996.30 : x
  2. Step 2: Convert to fraction form
    2,230.20/3,342.60 = 996.30/x
  3. Step 3: Cross multiply
    2,230.20x = 3,342.60 × 996.30
  4. Step 4: Simplify right side
    2,230.20x = 3,330,232.38
  5. Step 5: Solve for x
    x = 3,330,232.38/2,230.20
  6. Step 6: Final answer
    x = 1,493.24

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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.