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Finding the Fourth Proportional to 2,194.25, 3,027.98 and 1,199.56

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Solution

The fourth proportional to 2,194.25, 3,027.98 and 1,199.56 is: 1,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.25 : 3,027.98 = 1,199.56 : x
  2. Step 2: Convert to fraction form
    2,194.25/3,027.98 = 1,199.56/x
  3. Step 3: Cross multiply
    2,194.25x = 3,027.98 × 1,199.56
  4. Step 4: Simplify right side
    2,194.25x = 3,632,243.69
  5. Step 5: Solve for x
    x = 3,632,243.69/2,194.25
  6. Step 6: Final answer
    x = 1,655.35

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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.