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Finding the Fourth Proportional to 2,840.47, 3,919.81 and 1,645.62

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Solution

The fourth proportional to 2,840.47, 3,919.81 and 1,645.62 is: 2,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.47 : 3,919.81 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    2,840.47/3,919.81 = 1,645.62/x
  3. Step 3: Cross multiply
    2,840.47x = 3,919.81 × 1,645.62
  4. Step 4: Simplify right side
    2,840.47x = 6,450,502.30
  5. Step 5: Solve for x
    x = 6,450,502.30/2,840.47
  6. Step 6: Final answer
    x = 2,270.93

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