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Finding the Fourth Proportional to 2,725.55, 3,760.11 and 1,677

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Solution

The fourth proportional to 2,725.55, 3,760.11 and 1,677 is: 2,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.55 : 3,760.11 = 1,677 : x
  2. Step 2: Convert to fraction form
    2,725.55/3,760.11 = 1,677/x
  3. Step 3: Cross multiply
    2,725.55x = 3,760.11 × 1,677
  4. Step 4: Simplify right side
    2,725.55x = 6,305,704.47
  5. Step 5: Solve for x
    x = 6,305,704.47/2,725.55
  6. Step 6: Final answer
    x = 2,313.56

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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.