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Finding the Fourth Proportional to 3,274.92, 4,912.98 and 1,083.66

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Solution

The fourth proportional to 3,274.92, 4,912.98 and 1,083.66 is: 1,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.92 : 4,912.98 = 1,083.66 : x
  2. Step 2: Convert to fraction form
    3,274.92/4,912.98 = 1,083.66/x
  3. Step 3: Cross multiply
    3,274.92x = 4,912.98 × 1,083.66
  4. Step 4: Simplify right side
    3,274.92x = 5,324,025.98
  5. Step 5: Solve for x
    x = 5,324,025.98/3,274.92
  6. Step 6: Final answer
    x = 1,625.70

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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.