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Finding the Fourth Proportional to 2,194.66, 3,292.60 and 1,221.44

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Solution

The fourth proportional to 2,194.66, 3,292.60 and 1,221.44 is: 1,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.66 : 3,292.60 = 1,221.44 : x
  2. Step 2: Convert to fraction form
    2,194.66/3,292.60 = 1,221.44/x
  3. Step 3: Cross multiply
    2,194.66x = 3,292.60 × 1,221.44
  4. Step 4: Simplify right side
    2,194.66x = 4,021,718.52
  5. Step 5: Solve for x
    x = 4,021,718.52/2,194.66
  6. Step 6: Final answer
    x = 1,832.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.