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Finding the Fourth Proportional to 2,194.25, 3,290.85 and 806.83

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Solution

The fourth proportional to 2,194.25, 3,290.85 and 806.83 is: 1,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.25 : 3,290.85 = 806.83 : x
  2. Step 2: Convert to fraction form
    2,194.25/3,290.85 = 806.83/x
  3. Step 3: Cross multiply
    2,194.25x = 3,290.85 × 806.83
  4. Step 4: Simplify right side
    2,194.25x = 2,655,148.28
  5. Step 5: Solve for x
    x = 2,655,148.28/2,194.25
  6. Step 6: Final answer
    x = 1,210.05

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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.