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Finding the Fourth Proportional to 2,000.67, 3,001.01 and 539.97

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Solution

The fourth proportional to 2,000.67, 3,001.01 and 539.97 is: 809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.67 : 3,001.01 = 539.97 : x
  2. Step 2: Convert to fraction form
    2,000.67/3,001.01 = 539.97/x
  3. Step 3: Cross multiply
    2,000.67x = 3,001.01 × 539.97
  4. Step 4: Simplify right side
    2,000.67x = 1,620,452.67
  5. Step 5: Solve for x
    x = 1,620,452.67/2,000.67
  6. Step 6: Final answer
    x = 809.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.