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Finding the Fourth Proportional to 2,978.64, 4,109.92 and 1,799.77

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Solution

The fourth proportional to 2,978.64, 4,109.92 and 1,799.77 is: 2,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.64 : 4,109.92 = 1,799.77 : x
  2. Step 2: Convert to fraction form
    2,978.64/4,109.92 = 1,799.77/x
  3. Step 3: Cross multiply
    2,978.64x = 4,109.92 × 1,799.77
  4. Step 4: Simplify right side
    2,978.64x = 7,396,910.72
  5. Step 5: Solve for x
    x = 7,396,910.72/2,978.64
  6. Step 6: Final answer
    x = 2,483.32

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