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Finding the Fourth Proportional to 1,916.78, 2,875.14 and 1,092.98

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Solution

The fourth proportional to 1,916.78, 2,875.14 and 1,092.98 is: 1,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.78 : 2,875.14 = 1,092.98 : x
  2. Step 2: Convert to fraction form
    1,916.78/2,875.14 = 1,092.98/x
  3. Step 3: Cross multiply
    1,916.78x = 2,875.14 × 1,092.98
  4. Step 4: Simplify right side
    1,916.78x = 3,142,470.52
  5. Step 5: Solve for x
    x = 3,142,470.52/1,916.78
  6. Step 6: Final answer
    x = 1,639.45

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