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Finding the Fourth Proportional to 2,247.96, 3,372.40 and 949.44

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Solution

The fourth proportional to 2,247.96, 3,372.40 and 949.44 is: 1,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.96 : 3,372.40 = 949.44 : x
  2. Step 2: Convert to fraction form
    2,247.96/3,372.40 = 949.44/x
  3. Step 3: Cross multiply
    2,247.96x = 3,372.40 × 949.44
  4. Step 4: Simplify right side
    2,247.96x = 3,201,891.46
  5. Step 5: Solve for x
    x = 3,201,891.46/2,247.96
  6. Step 6: Final answer
    x = 1,424.35

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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.