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Finding the Fourth Proportional to 1,896.84, 2,840.44 and 1,587.92

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Solution

The fourth proportional to 1,896.84, 2,840.44 and 1,587.92 is: 2,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.84 : 2,840.44 = 1,587.92 : x
  2. Step 2: Convert to fraction form
    1,896.84/2,840.44 = 1,587.92/x
  3. Step 3: Cross multiply
    1,896.84x = 2,840.44 × 1,587.92
  4. Step 4: Simplify right side
    1,896.84x = 4,510,391.48
  5. Step 5: Solve for x
    x = 4,510,391.48/1,896.84
  6. Step 6: Final answer
    x = 2,377.84

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