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Finding the Fourth Proportional to 2,734.26, 3,772.62 and 1,555.98

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Solution

The fourth proportional to 2,734.26, 3,772.62 and 1,555.98 is: 2,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.26 : 3,772.62 = 1,555.98 : x
  2. Step 2: Convert to fraction form
    2,734.26/3,772.62 = 1,555.98/x
  3. Step 3: Cross multiply
    2,734.26x = 3,772.62 × 1,555.98
  4. Step 4: Simplify right side
    2,734.26x = 5,870,107.12
  5. Step 5: Solve for x
    x = 5,870,107.12/2,734.26
  6. Step 6: Final answer
    x = 2,146.88

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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.