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Finding the Fourth Proportional to 2,725.34, 3,761.22 and 1,606.62

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Solution

The fourth proportional to 2,725.34, 3,761.22 and 1,606.62 is: 2,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.34 : 3,761.22 = 1,606.62 : x
  2. Step 2: Convert to fraction form
    2,725.34/3,761.22 = 1,606.62/x
  3. Step 3: Cross multiply
    2,725.34x = 3,761.22 × 1,606.62
  4. Step 4: Simplify right side
    2,725.34x = 6,042,851.28
  5. Step 5: Solve for x
    x = 6,042,851.28/2,725.34
  6. Step 6: Final answer
    x = 2,217.28

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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.