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Finding the Fourth Proportional to 2,194.44, 3,027.42 and 1,449.24

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Solution

The fourth proportional to 2,194.44, 3,027.42 and 1,449.24 is: 1,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.44 : 3,027.42 = 1,449.24 : x
  2. Step 2: Convert to fraction form
    2,194.44/3,027.42 = 1,449.24/x
  3. Step 3: Cross multiply
    2,194.44x = 3,027.42 × 1,449.24
  4. Step 4: Simplify right side
    2,194.44x = 4,387,458.16
  5. Step 5: Solve for x
    x = 4,387,458.16/2,194.44
  6. Step 6: Final answer
    x = 1,999.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.