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Finding the Fourth Proportional to 2,725.65, 3,761.42 and 1,546.74

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Solution

The fourth proportional to 2,725.65, 3,761.42 and 1,546.74 is: 2,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.65 : 3,761.42 = 1,546.74 : x
  2. Step 2: Convert to fraction form
    2,725.65/3,761.42 = 1,546.74/x
  3. Step 3: Cross multiply
    2,725.65x = 3,761.42 × 1,546.74
  4. Step 4: Simplify right side
    2,725.65x = 5,817,931.04
  5. Step 5: Solve for x
    x = 5,817,931.04/2,725.65
  6. Step 6: Final answer
    x = 2,134.51

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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.