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Finding the Fourth Proportional to 3,125.64, 4,684.14 and 1,664.40

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Solution

The fourth proportional to 3,125.64, 4,684.14 and 1,664.40 is: 2,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.64 : 4,684.14 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    3,125.64/4,684.14 = 1,664.40/x
  3. Step 3: Cross multiply
    3,125.64x = 4,684.14 × 1,664.40
  4. Step 4: Simplify right side
    3,125.64x = 7,796,282.62
  5. Step 5: Solve for x
    x = 7,796,282.62/3,125.64
  6. Step 6: Final answer
    x = 2,494.30

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