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Finding the Fourth Proportional to 2,065.64, 2,846.40 and 1,919.84

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Solution

The fourth proportional to 2,065.64, 2,846.40 and 1,919.84 is: 2,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.64 : 2,846.40 = 1,919.84 : x
  2. Step 2: Convert to fraction form
    2,065.64/2,846.40 = 1,919.84/x
  3. Step 3: Cross multiply
    2,065.64x = 2,846.40 × 1,919.84
  4. Step 4: Simplify right side
    2,065.64x = 5,464,632.58
  5. Step 5: Solve for x
    x = 5,464,632.58/2,065.64
  6. Step 6: Final answer
    x = 2,645.49

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