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Finding the Fourth Proportional to 3,206.84, 4,801.57 and 1,664.60

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Solution

The fourth proportional to 3,206.84, 4,801.57 and 1,664.60 is: 2,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,801.57 = 1,664.60 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,801.57 = 1,664.60/x
  3. Step 3: Cross multiply
    3,206.84x = 4,801.57 × 1,664.60
  4. Step 4: Simplify right side
    3,206.84x = 7,992,685.10
  5. Step 5: Solve for x
    x = 7,992,685.10/3,206.84
  6. Step 6: Final answer
    x = 2,492.39

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