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Finding the Fourth Proportional to 2,241.33, 3,362.21 and 681.34

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Solution

The fourth proportional to 2,241.33, 3,362.21 and 681.34 is: 1,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.33 : 3,362.21 = 681.34 : x
  2. Step 2: Convert to fraction form
    2,241.33/3,362.21 = 681.34/x
  3. Step 3: Cross multiply
    2,241.33x = 3,362.21 × 681.34
  4. Step 4: Simplify right side
    2,241.33x = 2,290,808.16
  5. Step 5: Solve for x
    x = 2,290,808.16/2,241.33
  6. Step 6: Final answer
    x = 1,022.08

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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.