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Finding the Fourth Proportional to 3,274.25, 4,516.97 and 1,947.20

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Solution

The fourth proportional to 3,274.25, 4,516.97 and 1,947.20 is: 2,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.25 : 4,516.97 = 1,947.20 : x
  2. Step 2: Convert to fraction form
    3,274.25/4,516.97 = 1,947.20/x
  3. Step 3: Cross multiply
    3,274.25x = 4,516.97 × 1,947.20
  4. Step 4: Simplify right side
    3,274.25x = 8,795,443.98
  5. Step 5: Solve for x
    x = 8,795,443.98/3,274.25
  6. Step 6: Final answer
    x = 2,686.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.