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Finding the Fourth Proportional to 2,256.40, 3,380.94 and 1,159.24

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Solution

The fourth proportional to 2,256.40, 3,380.94 and 1,159.24 is: 1,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.40 : 3,380.94 = 1,159.24 : x
  2. Step 2: Convert to fraction form
    2,256.40/3,380.94 = 1,159.24/x
  3. Step 3: Cross multiply
    2,256.40x = 3,380.94 × 1,159.24
  4. Step 4: Simplify right side
    2,256.40x = 3,919,320.89
  5. Step 5: Solve for x
    x = 3,919,320.89/2,256.40
  6. Step 6: Final answer
    x = 1,736.98

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