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Finding the Fourth Proportional to 2,000.82, 2,995.02 and 1,269.30

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Solution

The fourth proportional to 2,000.82, 2,995.02 and 1,269.30 is: 1,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.82 : 2,995.02 = 1,269.30 : x
  2. Step 2: Convert to fraction form
    2,000.82/2,995.02 = 1,269.30/x
  3. Step 3: Cross multiply
    2,000.82x = 2,995.02 × 1,269.30
  4. Step 4: Simplify right side
    2,000.82x = 3,801,578.89
  5. Step 5: Solve for x
    x = 3,801,578.89/2,000.82
  6. Step 6: Final answer
    x = 1,900.01

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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.