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Finding the Fourth Proportional to 2,978.85, 4,467.89 and 787.75

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Solution

The fourth proportional to 2,978.85, 4,467.89 and 787.75 is: 1,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.85 : 4,467.89 = 787.75 : x
  2. Step 2: Convert to fraction form
    2,978.85/4,467.89 = 787.75/x
  3. Step 3: Cross multiply
    2,978.85x = 4,467.89 × 787.75
  4. Step 4: Simplify right side
    2,978.85x = 3,519,554.07
  5. Step 5: Solve for x
    x = 3,519,554.07/2,978.85
  6. Step 6: Final answer
    x = 1,181.52

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