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Finding the Fourth Proportional to 1,923.83, 2,885.83 and 998.80

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Solution

The fourth proportional to 1,923.83, 2,885.83 and 998.80 is: 1,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.83 : 2,885.83 = 998.80 : x
  2. Step 2: Convert to fraction form
    1,923.83/2,885.83 = 998.80/x
  3. Step 3: Cross multiply
    1,923.83x = 2,885.83 × 998.80
  4. Step 4: Simplify right side
    1,923.83x = 2,882,357.29
  5. Step 5: Solve for x
    x = 2,882,357.29/1,923.83
  6. Step 6: Final answer
    x = 1,498.24

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