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Finding the Fourth Proportional to 1,878.20, 2,814.97 and 1,057.06

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Solution

The fourth proportional to 1,878.20, 2,814.97 and 1,057.06 is: 1,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.20 : 2,814.97 = 1,057.06 : x
  2. Step 2: Convert to fraction form
    1,878.20/2,814.97 = 1,057.06/x
  3. Step 3: Cross multiply
    1,878.20x = 2,814.97 × 1,057.06
  4. Step 4: Simplify right side
    1,878.20x = 2,975,592.19
  5. Step 5: Solve for x
    x = 2,975,592.19/1,878.20
  6. Step 6: Final answer
    x = 1,584.28

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