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Finding the Fourth Proportional to 3,278.82, 4,915.93 and 1,634.22

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Solution

The fourth proportional to 3,278.82, 4,915.93 and 1,634.22 is: 2,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.82 : 4,915.93 = 1,634.22 : x
  2. Step 2: Convert to fraction form
    3,278.82/4,915.93 = 1,634.22/x
  3. Step 3: Cross multiply
    3,278.82x = 4,915.93 × 1,634.22
  4. Step 4: Simplify right side
    3,278.82x = 8,033,694.73
  5. Step 5: Solve for x
    x = 8,033,694.73/3,278.82
  6. Step 6: Final answer
    x = 2,450.18

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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.