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Finding the Fourth Proportional to 2,646.62, 3,964.64 and 1,261.30

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Solution

The fourth proportional to 2,646.62, 3,964.64 and 1,261.30 is: 1,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.62 : 3,964.64 = 1,261.30 : x
  2. Step 2: Convert to fraction form
    2,646.62/3,964.64 = 1,261.30/x
  3. Step 3: Cross multiply
    2,646.62x = 3,964.64 × 1,261.30
  4. Step 4: Simplify right side
    2,646.62x = 5,000,600.43
  5. Step 5: Solve for x
    x = 5,000,600.43/2,646.62
  6. Step 6: Final answer
    x = 1,889.43

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