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Finding the Fourth Proportional to 2,978.77, 4,467.81 and 787.67

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Solution

The fourth proportional to 2,978.77, 4,467.81 and 787.67 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.77 : 4,467.81 = 787.67 : x
  2. Step 2: Convert to fraction form
    2,978.77/4,467.81 = 787.67/x
  3. Step 3: Cross multiply
    2,978.77x = 4,467.81 × 787.67
  4. Step 4: Simplify right side
    2,978.77x = 3,519,159.90
  5. Step 5: Solve for x
    x = 3,519,159.90/2,978.77
  6. Step 6: Final answer
    x = 1,181.41

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