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Finding the Fourth Proportional to 2,725.58, 3,761.06 and 1,546.71

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Solution

The fourth proportional to 2,725.58, 3,761.06 and 1,546.71 is: 2,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.58 : 3,761.06 = 1,546.71 : x
  2. Step 2: Convert to fraction form
    2,725.58/3,761.06 = 1,546.71/x
  3. Step 3: Cross multiply
    2,725.58x = 3,761.06 × 1,546.71
  4. Step 4: Simplify right side
    2,725.58x = 5,817,261.38
  5. Step 5: Solve for x
    x = 5,817,261.38/2,725.58
  6. Step 6: Final answer
    x = 2,134.32

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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.