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Finding the Fourth Proportional to 1,898.28, 2,847.36 and 1,123.64

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Solution

The fourth proportional to 1,898.28, 2,847.36 and 1,123.64 is: 1,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.28 : 2,847.36 = 1,123.64 : x
  2. Step 2: Convert to fraction form
    1,898.28/2,847.36 = 1,123.64/x
  3. Step 3: Cross multiply
    1,898.28x = 2,847.36 × 1,123.64
  4. Step 4: Simplify right side
    1,898.28x = 3,199,407.59
  5. Step 5: Solve for x
    x = 3,199,407.59/1,898.28
  6. Step 6: Final answer
    x = 1,685.42

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