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Finding the Fourth Proportional to 2,194.60, 3,288.58 and 961.32

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Solution

The fourth proportional to 2,194.60, 3,288.58 and 961.32 is: 1,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.60 : 3,288.58 = 961.32 : x
  2. Step 2: Convert to fraction form
    2,194.60/3,288.58 = 961.32/x
  3. Step 3: Cross multiply
    2,194.60x = 3,288.58 × 961.32
  4. Step 4: Simplify right side
    2,194.60x = 3,161,377.73
  5. Step 5: Solve for x
    x = 3,161,377.73/2,194.60
  6. Step 6: Final answer
    x = 1,440.53

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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.