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Finding the Fourth Proportional to 2,591.13, 3,578.00 and 2,221.77

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Solution

The fourth proportional to 2,591.13, 3,578.00 and 2,221.77 is: 3,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.13 : 3,578.00 = 2,221.77 : x
  2. Step 2: Convert to fraction form
    2,591.13/3,578.00 = 2,221.77/x
  3. Step 3: Cross multiply
    2,591.13x = 3,578.00 × 2,221.77
  4. Step 4: Simplify right side
    2,591.13x = 7,949,481.95
  5. Step 5: Solve for x
    x = 7,949,481.95/2,591.13
  6. Step 6: Final answer
    x = 3,067.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.