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Finding the Fourth Proportional to 1,919.74, 2,882.82 and 1,678.36

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Solution

The fourth proportional to 1,919.74, 2,882.82 and 1,678.36 is: 2,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.74 : 2,882.82 = 1,678.36 : x
  2. Step 2: Convert to fraction form
    1,919.74/2,882.82 = 1,678.36/x
  3. Step 3: Cross multiply
    1,919.74x = 2,882.82 × 1,678.36
  4. Step 4: Simplify right side
    1,919.74x = 4,838,409.78
  5. Step 5: Solve for x
    x = 4,838,409.78/1,919.74
  6. Step 6: Final answer
    x = 2,520.35

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