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Finding the Fourth Proportional to 2,163.39, 3,244.56 and 931.38

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Solution

The fourth proportional to 2,163.39, 3,244.56 and 931.38 is: 1,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.39 : 3,244.56 = 931.38 : x
  2. Step 2: Convert to fraction form
    2,163.39/3,244.56 = 931.38/x
  3. Step 3: Cross multiply
    2,163.39x = 3,244.56 × 931.38
  4. Step 4: Simplify right side
    2,163.39x = 3,021,918.29
  5. Step 5: Solve for x
    x = 3,021,918.29/2,163.39
  6. Step 6: Final answer
    x = 1,396.84

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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.