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Finding the Fourth Proportional to 2,194.20, 3,291.70 and 733.46

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Solution

The fourth proportional to 2,194.20, 3,291.70 and 733.46 is: 1,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.20 : 3,291.70 = 733.46 : x
  2. Step 2: Convert to fraction form
    2,194.20/3,291.70 = 733.46/x
  3. Step 3: Cross multiply
    2,194.20x = 3,291.70 × 733.46
  4. Step 4: Simplify right side
    2,194.20x = 2,414,330.28
  5. Step 5: Solve for x
    x = 2,414,330.28/2,194.20
  6. Step 6: Final answer
    x = 1,100.32

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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.