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Finding the Fourth Proportional to 2,560.96, 3,841.28 and 1,261.28

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Solution

The fourth proportional to 2,560.96, 3,841.28 and 1,261.28 is: 1,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.96 : 3,841.28 = 1,261.28 : x
  2. Step 2: Convert to fraction form
    2,560.96/3,841.28 = 1,261.28/x
  3. Step 3: Cross multiply
    2,560.96x = 3,841.28 × 1,261.28
  4. Step 4: Simplify right side
    2,560.96x = 4,844,929.64
  5. Step 5: Solve for x
    x = 4,844,929.64/2,560.96
  6. Step 6: Final answer
    x = 1,891.84

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