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Finding the Fourth Proportional to 2,001.78, 3,003.33 and 633.78

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Solution

The fourth proportional to 2,001.78, 3,003.33 and 633.78 is: 950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.78 : 3,003.33 = 633.78 : x
  2. Step 2: Convert to fraction form
    2,001.78/3,003.33 = 633.78/x
  3. Step 3: Cross multiply
    2,001.78x = 3,003.33 × 633.78
  4. Step 4: Simplify right side
    2,001.78x = 1,903,450.49
  5. Step 5: Solve for x
    x = 1,903,450.49/2,001.78
  6. Step 6: Final answer
    x = 950.88

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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.