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Finding the Fourth Proportional to 1,878.66, 2,819.44 and 1,782.31

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Solution

The fourth proportional to 1,878.66, 2,819.44 and 1,782.31 is: 2,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.66 : 2,819.44 = 1,782.31 : x
  2. Step 2: Convert to fraction form
    1,878.66/2,819.44 = 1,782.31/x
  3. Step 3: Cross multiply
    1,878.66x = 2,819.44 × 1,782.31
  4. Step 4: Simplify right side
    1,878.66x = 5,025,116.11
  5. Step 5: Solve for x
    x = 5,025,116.11/1,878.66
  6. Step 6: Final answer
    x = 2,674.84

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