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Finding the Fourth Proportional to 1,928.81, 2,878.94 and 1,882.20

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Solution

The fourth proportional to 1,928.81, 2,878.94 and 1,882.20 is: 2,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.81 : 2,878.94 = 1,882.20 : x
  2. Step 2: Convert to fraction form
    1,928.81/2,878.94 = 1,882.20/x
  3. Step 3: Cross multiply
    1,928.81x = 2,878.94 × 1,882.20
  4. Step 4: Simplify right side
    1,928.81x = 5,418,756.37
  5. Step 5: Solve for x
    x = 5,418,756.37/1,928.81
  6. Step 6: Final answer
    x = 2,809.37

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