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Finding the Fourth Proportional to 2,003.08, 3,003.38 and 833.91

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Solution

The fourth proportional to 2,003.08, 3,003.38 and 833.91 is: 1,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.08 : 3,003.38 = 833.91 : x
  2. Step 2: Convert to fraction form
    2,003.08/3,003.38 = 833.91/x
  3. Step 3: Cross multiply
    2,003.08x = 3,003.38 × 833.91
  4. Step 4: Simplify right side
    2,003.08x = 2,504,548.62
  5. Step 5: Solve for x
    x = 2,504,548.62/2,003.08
  6. Step 6: Final answer
    x = 1,250.35

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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.