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Finding the Fourth Proportional to 2,194.12, 3,291.35 and 733.28

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Solution

The fourth proportional to 2,194.12, 3,291.35 and 733.28 is: 1,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.12 : 3,291.35 = 733.28 : x
  2. Step 2: Convert to fraction form
    2,194.12/3,291.35 = 733.28/x
  3. Step 3: Cross multiply
    2,194.12x = 3,291.35 × 733.28
  4. Step 4: Simplify right side
    2,194.12x = 2,413,472.90
  5. Step 5: Solve for x
    x = 2,413,472.90/2,194.12
  6. Step 6: Final answer
    x = 1,099.97

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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.