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Finding the Fourth Proportional to 2,276.32, 3,413.52 and 960.66

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Solution

The fourth proportional to 2,276.32, 3,413.52 and 960.66 is: 1,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.32 : 3,413.52 = 960.66 : x
  2. Step 2: Convert to fraction form
    2,276.32/3,413.52 = 960.66/x
  3. Step 3: Cross multiply
    2,276.32x = 3,413.52 × 960.66
  4. Step 4: Simplify right side
    2,276.32x = 3,279,229.42
  5. Step 5: Solve for x
    x = 3,279,229.42/2,276.32
  6. Step 6: Final answer
    x = 1,440.59

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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.