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Finding the Fourth Proportional to 2,640.40, 3,958.37 and 1,664.35

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Solution

The fourth proportional to 2,640.40, 3,958.37 and 1,664.35 is: 2,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.40 : 3,958.37 = 1,664.35 : x
  2. Step 2: Convert to fraction form
    2,640.40/3,958.37 = 1,664.35/x
  3. Step 3: Cross multiply
    2,640.40x = 3,958.37 × 1,664.35
  4. Step 4: Simplify right side
    2,640.40x = 6,588,101.13
  5. Step 5: Solve for x
    x = 6,588,101.13/2,640.40
  6. Step 6: Final answer
    x = 2,495.12

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