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Finding the Fourth Proportional to 2,150.40, 3,225.24 and 1,664.40

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Solution

The fourth proportional to 2,150.40, 3,225.24 and 1,664.40 is: 2,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.40 : 3,225.24 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    2,150.40/3,225.24 = 1,664.40/x
  3. Step 3: Cross multiply
    2,150.40x = 3,225.24 × 1,664.40
  4. Step 4: Simplify right side
    2,150.40x = 5,368,089.46
  5. Step 5: Solve for x
    x = 5,368,089.46/2,150.40
  6. Step 6: Final answer
    x = 2,496.32

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