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Finding the Fourth Proportional to 3,205.76, 4,805.79 and 1,256.60

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Solution

The fourth proportional to 3,205.76, 4,805.79 and 1,256.60 is: 1,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.76 : 4,805.79 = 1,256.60 : x
  2. Step 2: Convert to fraction form
    3,205.76/4,805.79 = 1,256.60/x
  3. Step 3: Cross multiply
    3,205.76x = 4,805.79 × 1,256.60
  4. Step 4: Simplify right side
    3,205.76x = 6,038,931.69
  5. Step 5: Solve for x
    x = 6,038,931.69/3,205.76
  6. Step 6: Final answer
    x = 1,883.78

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