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Finding the Fourth Proportional to 2,729.70, 3,766.94 and 1,611.29

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Solution

The fourth proportional to 2,729.70, 3,766.94 and 1,611.29 is: 2,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.70 : 3,766.94 = 1,611.29 : x
  2. Step 2: Convert to fraction form
    2,729.70/3,766.94 = 1,611.29/x
  3. Step 3: Cross multiply
    2,729.70x = 3,766.94 × 1,611.29
  4. Step 4: Simplify right side
    2,729.70x = 6,069,640.16
  5. Step 5: Solve for x
    x = 6,069,640.16/2,729.70
  6. Step 6: Final answer
    x = 2,223.56

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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.