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Finding the Fourth Proportional to 2,273.67, 3,137.82 and 1,265.43

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Solution

The fourth proportional to 2,273.67, 3,137.82 and 1,265.43 is: 1,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.67 : 3,137.82 = 1,265.43 : x
  2. Step 2: Convert to fraction form
    2,273.67/3,137.82 = 1,265.43/x
  3. Step 3: Cross multiply
    2,273.67x = 3,137.82 × 1,265.43
  4. Step 4: Simplify right side
    2,273.67x = 3,970,691.56
  5. Step 5: Solve for x
    x = 3,970,691.56/2,273.67
  6. Step 6: Final answer
    x = 1,746.38

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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.