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Finding the Fourth Proportional to 2,256.74, 3,381.86 and 1,280.78

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Solution

The fourth proportional to 2,256.74, 3,381.86 and 1,280.78 is: 1,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.74 : 3,381.86 = 1,280.78 : x
  2. Step 2: Convert to fraction form
    2,256.74/3,381.86 = 1,280.78/x
  3. Step 3: Cross multiply
    2,256.74x = 3,381.86 × 1,280.78
  4. Step 4: Simplify right side
    2,256.74x = 4,331,395.34
  5. Step 5: Solve for x
    x = 4,331,395.34/2,256.74
  6. Step 6: Final answer
    x = 1,919.32

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