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Finding the Fourth Proportional to 2,550.98, 3,826.60 and 797.18

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Solution

The fourth proportional to 2,550.98, 3,826.60 and 797.18 is: 1,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.98 : 3,826.60 = 797.18 : x
  2. Step 2: Convert to fraction form
    2,550.98/3,826.60 = 797.18/x
  3. Step 3: Cross multiply
    2,550.98x = 3,826.60 × 797.18
  4. Step 4: Simplify right side
    2,550.98x = 3,050,488.99
  5. Step 5: Solve for x
    x = 3,050,488.99/2,550.98
  6. Step 6: Final answer
    x = 1,195.81

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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.