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Finding the Fourth Proportional to 2,194.22, 3,028.02 and 1,199.50

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Solution

The fourth proportional to 2,194.22, 3,028.02 and 1,199.50 is: 1,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.22 : 3,028.02 = 1,199.50 : x
  2. Step 2: Convert to fraction form
    2,194.22/3,028.02 = 1,199.50/x
  3. Step 3: Cross multiply
    2,194.22x = 3,028.02 × 1,199.50
  4. Step 4: Simplify right side
    2,194.22x = 3,632,109.99
  5. Step 5: Solve for x
    x = 3,632,109.99/2,194.22
  6. Step 6: Final answer
    x = 1,655.31

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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.