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Finding the Fourth Proportional to 1,916.52, 2,874.78 and 1,188.20

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Solution

The fourth proportional to 1,916.52, 2,874.78 and 1,188.20 is: 1,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.52 : 2,874.78 = 1,188.20 : x
  2. Step 2: Convert to fraction form
    1,916.52/2,874.78 = 1,188.20/x
  3. Step 3: Cross multiply
    1,916.52x = 2,874.78 × 1,188.20
  4. Step 4: Simplify right side
    1,916.52x = 3,415,813.60
  5. Step 5: Solve for x
    x = 3,415,813.60/1,916.52
  6. Step 6: Final answer
    x = 1,782.30

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