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Finding the Fourth Proportional to 2,194.16, 3,027.94 and 1,199.42

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Solution

The fourth proportional to 2,194.16, 3,027.94 and 1,199.42 is: 1,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.16 : 3,027.94 = 1,199.42 : x
  2. Step 2: Convert to fraction form
    2,194.16/3,027.94 = 1,199.42/x
  3. Step 3: Cross multiply
    2,194.16x = 3,027.94 × 1,199.42
  4. Step 4: Simplify right side
    2,194.16x = 3,631,753.66
  5. Step 5: Solve for x
    x = 3,631,753.66/2,194.16
  6. Step 6: Final answer
    x = 1,655.19

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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.