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Finding the Fourth Proportional to 2,003.72, 3,005.02 and 833.32

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Solution

The fourth proportional to 2,003.72, 3,005.02 and 833.32 is: 1,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.72 : 3,005.02 = 833.32 : x
  2. Step 2: Convert to fraction form
    2,003.72/3,005.02 = 833.32/x
  3. Step 3: Cross multiply
    2,003.72x = 3,005.02 × 833.32
  4. Step 4: Simplify right side
    2,003.72x = 2,504,143.27
  5. Step 5: Solve for x
    x = 2,504,143.27/2,003.72
  6. Step 6: Final answer
    x = 1,249.75

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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.