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Finding the Fourth Proportional to 1,413.96, 1,949.67 and 1,329.22

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Solution

The fourth proportional to 1,413.96, 1,949.67 and 1,329.22 is: 1,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.96 : 1,949.67 = 1,329.22 : x
  2. Step 2: Convert to fraction form
    1,413.96/1,949.67 = 1,329.22/x
  3. Step 3: Cross multiply
    1,413.96x = 1,949.67 × 1,329.22
  4. Step 4: Simplify right side
    1,413.96x = 2,591,540.36
  5. Step 5: Solve for x
    x = 2,591,540.36/1,413.96
  6. Step 6: Final answer
    x = 1,832.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.