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Finding the Fourth Proportional to 2,672.38, 3,687.63 and 1,552.96

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Solution

The fourth proportional to 2,672.38, 3,687.63 and 1,552.96 is: 2,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.38 : 3,687.63 = 1,552.96 : x
  2. Step 2: Convert to fraction form
    2,672.38/3,687.63 = 1,552.96/x
  3. Step 3: Cross multiply
    2,672.38x = 3,687.63 × 1,552.96
  4. Step 4: Simplify right side
    2,672.38x = 5,726,741.88
  5. Step 5: Solve for x
    x = 5,726,741.88/2,672.38
  6. Step 6: Final answer
    x = 2,142.94

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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.