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Finding the Fourth Proportional to 2,398.86, 3,593.97 and 2,008.44

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Solution

The fourth proportional to 2,398.86, 3,593.97 and 2,008.44 is: 3,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.86 : 3,593.97 = 2,008.44 : x
  2. Step 2: Convert to fraction form
    2,398.86/3,593.97 = 2,008.44/x
  3. Step 3: Cross multiply
    2,398.86x = 3,593.97 × 2,008.44
  4. Step 4: Simplify right side
    2,398.86x = 7,218,273.11
  5. Step 5: Solve for x
    x = 7,218,273.11/2,398.86
  6. Step 6: Final answer
    x = 3,009.04

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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.