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Finding the Fourth Proportional to 2,297.42, 3,440.64 and 1,255.86

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Solution

The fourth proportional to 2,297.42, 3,440.64 and 1,255.86 is: 1,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.42 : 3,440.64 = 1,255.86 : x
  2. Step 2: Convert to fraction form
    2,297.42/3,440.64 = 1,255.86/x
  3. Step 3: Cross multiply
    2,297.42x = 3,440.64 × 1,255.86
  4. Step 4: Simplify right side
    2,297.42x = 4,320,962.15
  5. Step 5: Solve for x
    x = 4,320,962.15/2,297.42
  6. Step 6: Final answer
    x = 1,880.79

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