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Finding the Fourth Proportional to 3,145.94, 4,720.20 and 1,664.78

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Solution

The fourth proportional to 3,145.94, 4,720.20 and 1,664.78 is: 2,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.94 : 4,720.20 = 1,664.78 : x
  2. Step 2: Convert to fraction form
    3,145.94/4,720.20 = 1,664.78/x
  3. Step 3: Cross multiply
    3,145.94x = 4,720.20 × 1,664.78
  4. Step 4: Simplify right side
    3,145.94x = 7,858,062.63
  5. Step 5: Solve for x
    x = 7,858,062.63/3,145.94
  6. Step 6: Final answer
    x = 2,497.85

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