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Finding the Fourth Proportional to 2,441.68, 3,662.11 and 881.38

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Solution

The fourth proportional to 2,441.68, 3,662.11 and 881.38 is: 1,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.68 : 3,662.11 = 881.38 : x
  2. Step 2: Convert to fraction form
    2,441.68/3,662.11 = 881.38/x
  3. Step 3: Cross multiply
    2,441.68x = 3,662.11 × 881.38
  4. Step 4: Simplify right side
    2,441.68x = 3,227,716.19
  5. Step 5: Solve for x
    x = 3,227,716.19/2,441.68
  6. Step 6: Final answer
    x = 1,321.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.