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Finding the Fourth Proportional to 3,382.29, 4,667.36 and 1,965.87

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Solution

The fourth proportional to 3,382.29, 4,667.36 and 1,965.87 is: 2,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.29 : 4,667.36 = 1,965.87 : x
  2. Step 2: Convert to fraction form
    3,382.29/4,667.36 = 1,965.87/x
  3. Step 3: Cross multiply
    3,382.29x = 4,667.36 × 1,965.87
  4. Step 4: Simplify right side
    3,382.29x = 9,175,413.17
  5. Step 5: Solve for x
    x = 9,175,413.17/3,382.29
  6. Step 6: Final answer
    x = 2,712.78

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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.