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Finding the Fourth Proportional to 2,194.22, 3,291.90 and 961.87

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Solution

The fourth proportional to 2,194.22, 3,291.90 and 961.87 is: 1,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.22 : 3,291.90 = 961.87 : x
  2. Step 2: Convert to fraction form
    2,194.22/3,291.90 = 961.87/x
  3. Step 3: Cross multiply
    2,194.22x = 3,291.90 × 961.87
  4. Step 4: Simplify right side
    2,194.22x = 3,166,379.85
  5. Step 5: Solve for x
    x = 3,166,379.85/2,194.22
  6. Step 6: Final answer
    x = 1,443.05

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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.