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Finding the Fourth Proportional to 3,311.62, 4,964.55 and 1,666.78

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Solution

The fourth proportional to 3,311.62, 4,964.55 and 1,666.78 is: 2,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.62 : 4,964.55 = 1,666.78 : x
  2. Step 2: Convert to fraction form
    3,311.62/4,964.55 = 1,666.78/x
  3. Step 3: Cross multiply
    3,311.62x = 4,964.55 × 1,666.78
  4. Step 4: Simplify right side
    3,311.62x = 8,274,812.65
  5. Step 5: Solve for x
    x = 8,274,812.65/3,311.62
  6. Step 6: Final answer
    x = 2,498.72

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