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Finding the Fourth Proportional to 1,896.16, 2,840.46 and 1,506.82

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Solution

The fourth proportional to 1,896.16, 2,840.46 and 1,506.82 is: 2,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.16 : 2,840.46 = 1,506.82 : x
  2. Step 2: Convert to fraction form
    1,896.16/2,840.46 = 1,506.82/x
  3. Step 3: Cross multiply
    1,896.16x = 2,840.46 × 1,506.82
  4. Step 4: Simplify right side
    1,896.16x = 4,280,061.94
  5. Step 5: Solve for x
    x = 4,280,061.94/1,896.16
  6. Step 6: Final answer
    x = 2,257.23

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