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Finding the Fourth Proportional to 1,978.30, 2,967.77 and 745.82

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Solution

The fourth proportional to 1,978.30, 2,967.77 and 745.82 is: 1,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.30 : 2,967.77 = 745.82 : x
  2. Step 2: Convert to fraction form
    1,978.30/2,967.77 = 745.82/x
  3. Step 3: Cross multiply
    1,978.30x = 2,967.77 × 745.82
  4. Step 4: Simplify right side
    1,978.30x = 2,213,420.38
  5. Step 5: Solve for x
    x = 2,213,420.38/1,978.30
  6. Step 6: Final answer
    x = 1,118.85

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