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Finding the Fourth Proportional to 2,163.21, 3,243.81 and 776.18

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Solution

The fourth proportional to 2,163.21, 3,243.81 and 776.18 is: 1,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.21 : 3,243.81 = 776.18 : x
  2. Step 2: Convert to fraction form
    2,163.21/3,243.81 = 776.18/x
  3. Step 3: Cross multiply
    2,163.21x = 3,243.81 × 776.18
  4. Step 4: Simplify right side
    2,163.21x = 2,517,791.47
  5. Step 5: Solve for x
    x = 2,517,791.47/2,163.21
  6. Step 6: Final answer
    x = 1,163.92

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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.