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Finding the Fourth Proportional to 1,919.64, 2,880.90 and 1,190.28

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Solution

The fourth proportional to 1,919.64, 2,880.90 and 1,190.28 is: 1,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.64 : 2,880.90 = 1,190.28 : x
  2. Step 2: Convert to fraction form
    1,919.64/2,880.90 = 1,190.28/x
  3. Step 3: Cross multiply
    1,919.64x = 2,880.90 × 1,190.28
  4. Step 4: Simplify right side
    1,919.64x = 3,429,077.65
  5. Step 5: Solve for x
    x = 3,429,077.65/1,919.64
  6. Step 6: Final answer
    x = 1,786.31

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