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Finding the Fourth Proportional to 2,194.50, 3,028.46 and 1,199.82

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Solution

The fourth proportional to 2,194.50, 3,028.46 and 1,199.82 is: 1,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.50 : 3,028.46 = 1,199.82 : x
  2. Step 2: Convert to fraction form
    2,194.50/3,028.46 = 1,199.82/x
  3. Step 3: Cross multiply
    2,194.50x = 3,028.46 × 1,199.82
  4. Step 4: Simplify right side
    2,194.50x = 3,633,606.88
  5. Step 5: Solve for x
    x = 3,633,606.88/2,194.50
  6. Step 6: Final answer
    x = 1,655.78

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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.