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Finding the Fourth Proportional to 2,194.26, 3,291.31 and 550.83

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Solution

The fourth proportional to 2,194.26, 3,291.31 and 550.83 is: 826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.26 : 3,291.31 = 550.83 : x
  2. Step 2: Convert to fraction form
    2,194.26/3,291.31 = 550.83/x
  3. Step 3: Cross multiply
    2,194.26x = 3,291.31 × 550.83
  4. Step 4: Simplify right side
    2,194.26x = 1,812,936.00
  5. Step 5: Solve for x
    x = 1,812,936.00/2,194.26
  6. Step 6: Final answer
    x = 826.22

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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.