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Finding the Fourth Proportional to 1,916.70, 2,874.90 and 1,092.38

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Solution

The fourth proportional to 1,916.70, 2,874.90 and 1,092.38 is: 1,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.70 : 2,874.90 = 1,092.38 : x
  2. Step 2: Convert to fraction form
    1,916.70/2,874.90 = 1,092.38/x
  3. Step 3: Cross multiply
    1,916.70x = 2,874.90 × 1,092.38
  4. Step 4: Simplify right side
    1,916.70x = 3,140,483.26
  5. Step 5: Solve for x
    x = 3,140,483.26/1,916.70
  6. Step 6: Final answer
    x = 1,638.48

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