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Finding the Fourth Proportional to 2,489.97, 3,735.41 and 1,028.33

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Solution

The fourth proportional to 2,489.97, 3,735.41 and 1,028.33 is: 1,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.97 : 3,735.41 = 1,028.33 : x
  2. Step 2: Convert to fraction form
    2,489.97/3,735.41 = 1,028.33/x
  3. Step 3: Cross multiply
    2,489.97x = 3,735.41 × 1,028.33
  4. Step 4: Simplify right side
    2,489.97x = 3,841,234.17
  5. Step 5: Solve for x
    x = 3,841,234.17/2,489.97
  6. Step 6: Final answer
    x = 1,542.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.