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Finding the Fourth Proportional to 1,930.78, 2,896.20 and 469.96

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Solution

The fourth proportional to 1,930.78, 2,896.20 and 469.96 is: 704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.78 : 2,896.20 = 469.96 : x
  2. Step 2: Convert to fraction form
    1,930.78/2,896.20 = 469.96/x
  3. Step 3: Cross multiply
    1,930.78x = 2,896.20 × 469.96
  4. Step 4: Simplify right side
    1,930.78x = 1,361,098.15
  5. Step 5: Solve for x
    x = 1,361,098.15/1,930.78
  6. Step 6: Final answer
    x = 704.95

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