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Finding the Fourth Proportional to 2,725.26, 3,761.07 and 1,546.38

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Solution

The fourth proportional to 2,725.26, 3,761.07 and 1,546.38 is: 2,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.26 : 3,761.07 = 1,546.38 : x
  2. Step 2: Convert to fraction form
    2,725.26/3,761.07 = 1,546.38/x
  3. Step 3: Cross multiply
    2,725.26x = 3,761.07 × 1,546.38
  4. Step 4: Simplify right side
    2,725.26x = 5,816,043.43
  5. Step 5: Solve for x
    x = 5,816,043.43/2,725.26
  6. Step 6: Final answer
    x = 2,134.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.