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Finding the Fourth Proportional to 2,231.28, 3,344.52 and 996.99

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Solution

The fourth proportional to 2,231.28, 3,344.52 and 996.99 is: 1,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.28 : 3,344.52 = 996.99 : x
  2. Step 2: Convert to fraction form
    2,231.28/3,344.52 = 996.99/x
  3. Step 3: Cross multiply
    2,231.28x = 3,344.52 × 996.99
  4. Step 4: Simplify right side
    2,231.28x = 3,334,452.99
  5. Step 5: Solve for x
    x = 3,334,452.99/2,231.28
  6. Step 6: Final answer
    x = 1,494.41

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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.