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Finding the Fourth Proportional to 2,137.82, 3,206.66 and 1,266.35

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Solution

The fourth proportional to 2,137.82, 3,206.66 and 1,266.35 is: 1,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.82 : 3,206.66 = 1,266.35 : x
  2. Step 2: Convert to fraction form
    2,137.82/3,206.66 = 1,266.35/x
  3. Step 3: Cross multiply
    2,137.82x = 3,206.66 × 1,266.35
  4. Step 4: Simplify right side
    2,137.82x = 4,060,731.53
  5. Step 5: Solve for x
    x = 4,060,731.53/2,137.82
  6. Step 6: Final answer
    x = 1,899.48

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