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Finding the Fourth Proportional to 2,247.52, 3,371.60 and 949.28

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Solution

The fourth proportional to 2,247.52, 3,371.60 and 949.28 is: 1,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.52 : 3,371.60 = 949.28 : x
  2. Step 2: Convert to fraction form
    2,247.52/3,371.60 = 949.28/x
  3. Step 3: Cross multiply
    2,247.52x = 3,371.60 × 949.28
  4. Step 4: Simplify right side
    2,247.52x = 3,200,592.45
  5. Step 5: Solve for x
    x = 3,200,592.45/2,247.52
  6. Step 6: Final answer
    x = 1,424.06

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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.