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Finding the Fourth Proportional to 1,735.64, 2,606.29 and 1,463.48

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Solution

The fourth proportional to 1,735.64, 2,606.29 and 1,463.48 is: 2,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.64 : 2,606.29 = 1,463.48 : x
  2. Step 2: Convert to fraction form
    1,735.64/2,606.29 = 1,463.48/x
  3. Step 3: Cross multiply
    1,735.64x = 2,606.29 × 1,463.48
  4. Step 4: Simplify right side
    1,735.64x = 3,814,236.60
  5. Step 5: Solve for x
    x = 3,814,236.60/1,735.64
  6. Step 6: Final answer
    x = 2,197.60

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