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Finding the Fourth Proportional to 2,978.78, 4,467.82 and 787.68

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Solution

The fourth proportional to 2,978.78, 4,467.82 and 787.68 is: 1,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.78 : 4,467.82 = 787.68 : x
  2. Step 2: Convert to fraction form
    2,978.78/4,467.82 = 787.68/x
  3. Step 3: Cross multiply
    2,978.78x = 4,467.82 × 787.68
  4. Step 4: Simplify right side
    2,978.78x = 3,519,186.18
  5. Step 5: Solve for x
    x = 3,519,186.18/2,978.78
  6. Step 6: Final answer
    x = 1,181.42

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