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Finding the Fourth Proportional to 2,947.28, 4,418.17 and 998.12

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Solution

The fourth proportional to 2,947.28, 4,418.17 and 998.12 is: 1,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.28 : 4,418.17 = 998.12 : x
  2. Step 2: Convert to fraction form
    2,947.28/4,418.17 = 998.12/x
  3. Step 3: Cross multiply
    2,947.28x = 4,418.17 × 998.12
  4. Step 4: Simplify right side
    2,947.28x = 4,409,863.84
  5. Step 5: Solve for x
    x = 4,409,863.84/2,947.28
  6. Step 6: Final answer
    x = 1,496.25

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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.