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Finding the Fourth Proportional to 2,000.19, 3,000.30 and 1,997.31

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Solution

The fourth proportional to 2,000.19, 3,000.30 and 1,997.31 is: 2,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.19 : 3,000.30 = 1,997.31 : x
  2. Step 2: Convert to fraction form
    2,000.19/3,000.30 = 1,997.31/x
  3. Step 3: Cross multiply
    2,000.19x = 3,000.30 × 1,997.31
  4. Step 4: Simplify right side
    2,000.19x = 5,992,529.19
  5. Step 5: Solve for x
    x = 5,992,529.19/2,000.19
  6. Step 6: Final answer
    x = 2,995.98

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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.