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Finding the Fourth Proportional to 2,003.90, 3,003.26 and 961.73

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Solution

The fourth proportional to 2,003.90, 3,003.26 and 961.73 is: 1,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.90 : 3,003.26 = 961.73 : x
  2. Step 2: Convert to fraction form
    2,003.90/3,003.26 = 961.73/x
  3. Step 3: Cross multiply
    2,003.90x = 3,003.26 × 961.73
  4. Step 4: Simplify right side
    2,003.90x = 2,888,335.15
  5. Step 5: Solve for x
    x = 2,888,335.15/2,003.90
  6. Step 6: Final answer
    x = 1,441.36

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