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Finding the Fourth Proportional to 2,672.38, 3,688.41 and 1,493.38

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Solution

The fourth proportional to 2,672.38, 3,688.41 and 1,493.38 is: 2,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.38 : 3,688.41 = 1,493.38 : x
  2. Step 2: Convert to fraction form
    2,672.38/3,688.41 = 1,493.38/x
  3. Step 3: Cross multiply
    2,672.38x = 3,688.41 × 1,493.38
  4. Step 4: Simplify right side
    2,672.38x = 5,508,197.73
  5. Step 5: Solve for x
    x = 5,508,197.73/2,672.38
  6. Step 6: Final answer
    x = 2,061.16

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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.