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Finding the Fourth Proportional to 1,985.22, 2,980.76 and 1,109.43

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Solution

The fourth proportional to 1,985.22, 2,980.76 and 1,109.43 is: 1,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.22 : 2,980.76 = 1,109.43 : x
  2. Step 2: Convert to fraction form
    1,985.22/2,980.76 = 1,109.43/x
  3. Step 3: Cross multiply
    1,985.22x = 2,980.76 × 1,109.43
  4. Step 4: Simplify right side
    1,985.22x = 3,306,939.02
  5. Step 5: Solve for x
    x = 3,306,939.02/1,985.22
  6. Step 6: Final answer
    x = 1,665.78

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