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Finding the Fourth Proportional to 2,000.26, 3,001.96 and 1,306.76

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Solution

The fourth proportional to 2,000.26, 3,001.96 and 1,306.76 is: 1,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.26 : 3,001.96 = 1,306.76 : x
  2. Step 2: Convert to fraction form
    2,000.26/3,001.96 = 1,306.76/x
  3. Step 3: Cross multiply
    2,000.26x = 3,001.96 × 1,306.76
  4. Step 4: Simplify right side
    2,000.26x = 3,922,841.25
  5. Step 5: Solve for x
    x = 3,922,841.25/2,000.26
  6. Step 6: Final answer
    x = 1,961.17

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