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Finding the Fourth Proportional to 2,398.67, 3,601.11 and 1,882.03

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Solution

The fourth proportional to 2,398.67, 3,601.11 and 1,882.03 is: 2,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.67 : 3,601.11 = 1,882.03 : x
  2. Step 2: Convert to fraction form
    2,398.67/3,601.11 = 1,882.03/x
  3. Step 3: Cross multiply
    2,398.67x = 3,601.11 × 1,882.03
  4. Step 4: Simplify right side
    2,398.67x = 6,777,397.05
  5. Step 5: Solve for x
    x = 6,777,397.05/2,398.67
  6. Step 6: Final answer
    x = 2,825.48

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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.