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Finding the Fourth Proportional to 2,566.62, 3,850.92 and 1,333.44

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Solution

The fourth proportional to 2,566.62, 3,850.92 and 1,333.44 is: 2,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.62 : 3,850.92 = 1,333.44 : x
  2. Step 2: Convert to fraction form
    2,566.62/3,850.92 = 1,333.44/x
  3. Step 3: Cross multiply
    2,566.62x = 3,850.92 × 1,333.44
  4. Step 4: Simplify right side
    2,566.62x = 5,134,970.76
  5. Step 5: Solve for x
    x = 5,134,970.76/2,566.62
  6. Step 6: Final answer
    x = 2,000.67

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