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Finding the Fourth Proportional to 2,003.38, 3,004.16 and 833.11

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Solution

The fourth proportional to 2,003.38, 3,004.16 and 833.11 is: 1,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.38 : 3,004.16 = 833.11 : x
  2. Step 2: Convert to fraction form
    2,003.38/3,004.16 = 833.11/x
  3. Step 3: Cross multiply
    2,003.38x = 3,004.16 × 833.11
  4. Step 4: Simplify right side
    2,003.38x = 2,502,799.54
  5. Step 5: Solve for x
    x = 2,502,799.54/2,003.38
  6. Step 6: Final answer
    x = 1,249.29

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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.