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Finding the Fourth Proportional to 1,256.80, 1,736.40 and 1,153.12

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Solution

The fourth proportional to 1,256.80, 1,736.40 and 1,153.12 is: 1,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.80 : 1,736.40 = 1,153.12 : x
  2. Step 2: Convert to fraction form
    1,256.80/1,736.40 = 1,153.12/x
  3. Step 3: Cross multiply
    1,256.80x = 1,736.40 × 1,153.12
  4. Step 4: Simplify right side
    1,256.80x = 2,002,277.57
  5. Step 5: Solve for x
    x = 2,002,277.57/1,256.80
  6. Step 6: Final answer
    x = 1,593.16

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