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Finding the Fourth Proportional to 2,241.27, 3,362.11 and 681.31

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Solution

The fourth proportional to 2,241.27, 3,362.11 and 681.31 is: 1,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.27 : 3,362.11 = 681.31 : x
  2. Step 2: Convert to fraction form
    2,241.27/3,362.11 = 681.31/x
  3. Step 3: Cross multiply
    2,241.27x = 3,362.11 × 681.31
  4. Step 4: Simplify right side
    2,241.27x = 2,290,641.66
  5. Step 5: Solve for x
    x = 2,290,641.66/2,241.27
  6. Step 6: Final answer
    x = 1,022.03

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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.