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Finding the Fourth Proportional to 2,163.25, 3,243.21 and 1,066.87

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Solution

The fourth proportional to 2,163.25, 3,243.21 and 1,066.87 is: 1,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.25 : 3,243.21 = 1,066.87 : x
  2. Step 2: Convert to fraction form
    2,163.25/3,243.21 = 1,066.87/x
  3. Step 3: Cross multiply
    2,163.25x = 3,243.21 × 1,066.87
  4. Step 4: Simplify right side
    2,163.25x = 3,460,083.45
  5. Step 5: Solve for x
    x = 3,460,083.45/2,163.25
  6. Step 6: Final answer
    x = 1,599.48

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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.