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Finding the Fourth Proportional to 1,600.05, 2,400.08 and 1,583.85

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Solution

The fourth proportional to 1,600.05, 2,400.08 and 1,583.85 is: 2,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.05 : 2,400.08 = 1,583.85 : x
  2. Step 2: Convert to fraction form
    1,600.05/2,400.08 = 1,583.85/x
  3. Step 3: Cross multiply
    1,600.05x = 2,400.08 × 1,583.85
  4. Step 4: Simplify right side
    1,600.05x = 3,801,358.79
  5. Step 5: Solve for x
    x = 3,801,358.79/1,600.05
  6. Step 6: Final answer
    x = 2,375.78

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