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Finding the Fourth Proportional to 2,978.36, 4,467.89 and 787.10

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Solution

The fourth proportional to 2,978.36, 4,467.89 and 787.10 is: 1,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.36 : 4,467.89 = 787.10 : x
  2. Step 2: Convert to fraction form
    2,978.36/4,467.89 = 787.10/x
  3. Step 3: Cross multiply
    2,978.36x = 4,467.89 × 787.10
  4. Step 4: Simplify right side
    2,978.36x = 3,516,649.94
  5. Step 5: Solve for x
    x = 3,516,649.94/2,978.36
  6. Step 6: Final answer
    x = 1,180.74

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