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Finding the Fourth Proportional to 1,916.75, 2,870.49 and 1,092.52

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Solution

The fourth proportional to 1,916.75, 2,870.49 and 1,092.52 is: 1,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.75 : 2,870.49 = 1,092.52 : x
  2. Step 2: Convert to fraction form
    1,916.75/2,870.49 = 1,092.52/x
  3. Step 3: Cross multiply
    1,916.75x = 2,870.49 × 1,092.52
  4. Step 4: Simplify right side
    1,916.75x = 3,136,067.73
  5. Step 5: Solve for x
    x = 3,136,067.73/1,916.75
  6. Step 6: Final answer
    x = 1,636.14

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