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Finding the Fourth Proportional to 1,704.81, 2,353.77 and 1,146.56

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Solution

The fourth proportional to 1,704.81, 2,353.77 and 1,146.56 is: 1,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.81 : 2,353.77 = 1,146.56 : x
  2. Step 2: Convert to fraction form
    1,704.81/2,353.77 = 1,146.56/x
  3. Step 3: Cross multiply
    1,704.81x = 2,353.77 × 1,146.56
  4. Step 4: Simplify right side
    1,704.81x = 2,698,738.53
  5. Step 5: Solve for x
    x = 2,698,738.53/1,704.81
  6. Step 6: Final answer
    x = 1,583.01

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