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Finding the Fourth Proportional to 2,725.65, 3,761.78 and 1,606.91

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Solution

The fourth proportional to 2,725.65, 3,761.78 and 1,606.91 is: 2,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.65 : 3,761.78 = 1,606.91 : x
  2. Step 2: Convert to fraction form
    2,725.65/3,761.78 = 1,606.91/x
  3. Step 3: Cross multiply
    2,725.65x = 3,761.78 × 1,606.91
  4. Step 4: Simplify right side
    2,725.65x = 6,044,815.06
  5. Step 5: Solve for x
    x = 6,044,815.06/2,725.65
  6. Step 6: Final answer
    x = 2,217.75

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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.