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Finding the Fourth Proportional to 2,725.84, 3,761.64 and 1,546.92

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Solution

The fourth proportional to 2,725.84, 3,761.64 and 1,546.92 is: 2,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.84 : 3,761.64 = 1,546.92 : x
  2. Step 2: Convert to fraction form
    2,725.84/3,761.64 = 1,546.92/x
  3. Step 3: Cross multiply
    2,725.84x = 3,761.64 × 1,546.92
  4. Step 4: Simplify right side
    2,725.84x = 5,818,956.15
  5. Step 5: Solve for x
    x = 5,818,956.15/2,725.84
  6. Step 6: Final answer
    x = 2,134.74

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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.