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Finding the Fourth Proportional to 2,978.31, 4,466.85 and 1,128.78

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Solution

The fourth proportional to 2,978.31, 4,466.85 and 1,128.78 is: 1,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.31 : 4,466.85 = 1,128.78 : x
  2. Step 2: Convert to fraction form
    2,978.31/4,466.85 = 1,128.78/x
  3. Step 3: Cross multiply
    2,978.31x = 4,466.85 × 1,128.78
  4. Step 4: Simplify right side
    2,978.31x = 5,042,102.11
  5. Step 5: Solve for x
    x = 5,042,102.11/2,978.31
  6. Step 6: Final answer
    x = 1,692.94

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