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Finding the Fourth Proportional to 2,274.96, 3,413.52 and 1,179.33

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Solution

The fourth proportional to 2,274.96, 3,413.52 and 1,179.33 is: 1,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.96 : 3,413.52 = 1,179.33 : x
  2. Step 2: Convert to fraction form
    2,274.96/3,413.52 = 1,179.33/x
  3. Step 3: Cross multiply
    2,274.96x = 3,413.52 × 1,179.33
  4. Step 4: Simplify right side
    2,274.96x = 4,025,666.54
  5. Step 5: Solve for x
    x = 4,025,666.54/2,274.96
  6. Step 6: Final answer
    x = 1,769.55

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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.