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Finding the Fourth Proportional to 2,725.98, 3,760.35 and 1,843.02

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Solution

The fourth proportional to 2,725.98, 3,760.35 and 1,843.02 is: 2,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.98 : 3,760.35 = 1,843.02 : x
  2. Step 2: Convert to fraction form
    2,725.98/3,760.35 = 1,843.02/x
  3. Step 3: Cross multiply
    2,725.98x = 3,760.35 × 1,843.02
  4. Step 4: Simplify right side
    2,725.98x = 6,930,400.26
  5. Step 5: Solve for x
    x = 6,930,400.26/2,725.98
  6. Step 6: Final answer
    x = 2,542.35

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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.