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Finding the Fourth Proportional to 4,129.64, 6,194.40 and 1,664.40

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Solution

The fourth proportional to 4,129.64, 6,194.40 and 1,664.40 is: 2,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.64 : 6,194.40 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    4,129.64/6,194.40 = 1,664.40/x
  3. Step 3: Cross multiply
    4,129.64x = 6,194.40 × 1,664.40
  4. Step 4: Simplify right side
    4,129.64x = 10,309,959.36
  5. Step 5: Solve for x
    x = 10,309,959.36/4,129.64
  6. Step 6: Final answer
    x = 2,496.58

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