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Finding the Fourth Proportional to 1,704.43, 2,557.86 and 1,157.14

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Solution

The fourth proportional to 1,704.43, 2,557.86 and 1,157.14 is: 1,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.43 : 2,557.86 = 1,157.14 : x
  2. Step 2: Convert to fraction form
    1,704.43/2,557.86 = 1,157.14/x
  3. Step 3: Cross multiply
    1,704.43x = 2,557.86 × 1,157.14
  4. Step 4: Simplify right side
    1,704.43x = 2,959,802.12
  5. Step 5: Solve for x
    x = 2,959,802.12/1,704.43
  6. Step 6: Final answer
    x = 1,736.53

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