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Finding the Fourth Proportional to 2,000.83, 3,001.25 and 539.98

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Solution

The fourth proportional to 2,000.83, 3,001.25 and 539.98 is: 809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.83 : 3,001.25 = 539.98 : x
  2. Step 2: Convert to fraction form
    2,000.83/3,001.25 = 539.98/x
  3. Step 3: Cross multiply
    2,000.83x = 3,001.25 × 539.98
  4. Step 4: Simplify right side
    2,000.83x = 1,620,614.98
  5. Step 5: Solve for x
    x = 1,620,614.98/2,000.83
  6. Step 6: Final answer
    x = 809.97

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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.