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Finding the Fourth Proportional to 3,294.46, 4,941.78 and 1,102.78

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Solution

The fourth proportional to 3,294.46, 4,941.78 and 1,102.78 is: 1,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.46 : 4,941.78 = 1,102.78 : x
  2. Step 2: Convert to fraction form
    3,294.46/4,941.78 = 1,102.78/x
  3. Step 3: Cross multiply
    3,294.46x = 4,941.78 × 1,102.78
  4. Step 4: Simplify right side
    3,294.46x = 5,449,696.15
  5. Step 5: Solve for x
    x = 5,449,696.15/3,294.46
  6. Step 6: Final answer
    x = 1,654.20

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