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Finding the Fourth Proportional to 2,163.31, 3,243.42 and 846.04

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Solution

The fourth proportional to 2,163.31, 3,243.42 and 846.04 is: 1,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.31 : 3,243.42 = 846.04 : x
  2. Step 2: Convert to fraction form
    2,163.31/3,243.42 = 846.04/x
  3. Step 3: Cross multiply
    2,163.31x = 3,243.42 × 846.04
  4. Step 4: Simplify right side
    2,163.31x = 2,744,063.06
  5. Step 5: Solve for x
    x = 2,744,063.06/2,163.31
  6. Step 6: Final answer
    x = 1,268.46

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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.