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Finding the Fourth Proportional to 2,542.98, 3,510.90 and 1,661.26

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Solution

The fourth proportional to 2,542.98, 3,510.90 and 1,661.26 is: 2,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.98 : 3,510.90 = 1,661.26 : x
  2. Step 2: Convert to fraction form
    2,542.98/3,510.90 = 1,661.26/x
  3. Step 3: Cross multiply
    2,542.98x = 3,510.90 × 1,661.26
  4. Step 4: Simplify right side
    2,542.98x = 5,832,517.73
  5. Step 5: Solve for x
    x = 5,832,517.73/2,542.98
  6. Step 6: Final answer
    x = 2,293.58

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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.