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Finding the Fourth Proportional to 2,247.24, 3,367.60 and 996.32

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Solution

The fourth proportional to 2,247.24, 3,367.60 and 996.32 is: 1,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.24 : 3,367.60 = 996.32 : x
  2. Step 2: Convert to fraction form
    2,247.24/3,367.60 = 996.32/x
  3. Step 3: Cross multiply
    2,247.24x = 3,367.60 × 996.32
  4. Step 4: Simplify right side
    2,247.24x = 3,355,207.23
  5. Step 5: Solve for x
    x = 3,355,207.23/2,247.24
  6. Step 6: Final answer
    x = 1,493.03

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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.