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Finding the Fourth Proportional to 1,919.70, 2,880.59 and 1,042.88

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Solution

The fourth proportional to 1,919.70, 2,880.59 and 1,042.88 is: 1,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.70 : 2,880.59 = 1,042.88 : x
  2. Step 2: Convert to fraction form
    1,919.70/2,880.59 = 1,042.88/x
  3. Step 3: Cross multiply
    1,919.70x = 2,880.59 × 1,042.88
  4. Step 4: Simplify right side
    1,919.70x = 3,004,090.08
  5. Step 5: Solve for x
    x = 3,004,090.08/1,919.70
  6. Step 6: Final answer
    x = 1,564.87

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