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Finding the Fourth Proportional to 3,273.78, 4,911.66 and 1,194.78

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Solution

The fourth proportional to 3,273.78, 4,911.66 and 1,194.78 is: 1,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.78 : 4,911.66 = 1,194.78 : x
  2. Step 2: Convert to fraction form
    3,273.78/4,911.66 = 1,194.78/x
  3. Step 3: Cross multiply
    3,273.78x = 4,911.66 × 1,194.78
  4. Step 4: Simplify right side
    3,273.78x = 5,868,353.13
  5. Step 5: Solve for x
    x = 5,868,353.13/3,273.78
  6. Step 6: Final answer
    x = 1,792.53

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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.