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Finding the Fourth Proportional to 1,591.05, 2,194.77 and 961.27

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Solution

The fourth proportional to 1,591.05, 2,194.77 and 961.27 is: 1,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.05 : 2,194.77 = 961.27 : x
  2. Step 2: Convert to fraction form
    1,591.05/2,194.77 = 961.27/x
  3. Step 3: Cross multiply
    1,591.05x = 2,194.77 × 961.27
  4. Step 4: Simplify right side
    1,591.05x = 2,109,766.56
  5. Step 5: Solve for x
    x = 2,109,766.56/1,591.05
  6. Step 6: Final answer
    x = 1,326.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.