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Finding the Fourth Proportional to 2,550.35, 3,826.49 and 1,316.97

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Solution

The fourth proportional to 2,550.35, 3,826.49 and 1,316.97 is: 1,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.35 : 3,826.49 = 1,316.97 : x
  2. Step 2: Convert to fraction form
    2,550.35/3,826.49 = 1,316.97/x
  3. Step 3: Cross multiply
    2,550.35x = 3,826.49 × 1,316.97
  4. Step 4: Simplify right side
    2,550.35x = 5,039,365.95
  5. Step 5: Solve for x
    x = 5,039,365.95/2,550.35
  6. Step 6: Final answer
    x = 1,975.95

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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.