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Finding the Fourth Proportional to 3,003.67, 4,144.12 and 1,942.03

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Solution

The fourth proportional to 3,003.67, 4,144.12 and 1,942.03 is: 2,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.67 : 4,144.12 = 1,942.03 : x
  2. Step 2: Convert to fraction form
    3,003.67/4,144.12 = 1,942.03/x
  3. Step 3: Cross multiply
    3,003.67x = 4,144.12 × 1,942.03
  4. Step 4: Simplify right side
    3,003.67x = 8,048,005.36
  5. Step 5: Solve for x
    x = 8,048,005.36/3,003.67
  6. Step 6: Final answer
    x = 2,679.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.