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Finding the Fourth Proportional to 1,902.78, 2,856.80 and 1,316.34

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Solution

The fourth proportional to 1,902.78, 2,856.80 and 1,316.34 is: 1,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.78 : 2,856.80 = 1,316.34 : x
  2. Step 2: Convert to fraction form
    1,902.78/2,856.80 = 1,316.34/x
  3. Step 3: Cross multiply
    1,902.78x = 2,856.80 × 1,316.34
  4. Step 4: Simplify right side
    1,902.78x = 3,760,513.53
  5. Step 5: Solve for x
    x = 3,760,513.53/1,902.78
  6. Step 6: Final answer
    x = 1,976.33

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