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Finding the Fourth Proportional to 2,297.28, 3,440.52 and 1,604.64

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Solution

The fourth proportional to 2,297.28, 3,440.52 and 1,604.64 is: 2,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.28 : 3,440.52 = 1,604.64 : x
  2. Step 2: Convert to fraction form
    2,297.28/3,440.52 = 1,604.64/x
  3. Step 3: Cross multiply
    2,297.28x = 3,440.52 × 1,604.64
  4. Step 4: Simplify right side
    2,297.28x = 5,520,796.01
  5. Step 5: Solve for x
    x = 5,520,796.01/2,297.28
  6. Step 6: Final answer
    x = 2,403.19

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