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Finding the Fourth Proportional to 2,194.03, 3,291.20 and 733.18

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Solution

The fourth proportional to 2,194.03, 3,291.20 and 733.18 is: 1,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.03 : 3,291.20 = 733.18 : x
  2. Step 2: Convert to fraction form
    2,194.03/3,291.20 = 733.18/x
  3. Step 3: Cross multiply
    2,194.03x = 3,291.20 × 733.18
  4. Step 4: Simplify right side
    2,194.03x = 2,413,042.02
  5. Step 5: Solve for x
    x = 2,413,042.02/2,194.03
  6. Step 6: Final answer
    x = 1,099.82

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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.