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Finding the Fourth Proportional to 2,194.40, 3,291.77 and 733.55

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Solution

The fourth proportional to 2,194.40, 3,291.77 and 733.55 is: 1,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.40 : 3,291.77 = 733.55 : x
  2. Step 2: Convert to fraction form
    2,194.40/3,291.77 = 733.55/x
  3. Step 3: Cross multiply
    2,194.40x = 3,291.77 × 733.55
  4. Step 4: Simplify right side
    2,194.40x = 2,414,677.88
  5. Step 5: Solve for x
    x = 2,414,677.88/2,194.40
  6. Step 6: Final answer
    x = 1,100.38

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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.