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Finding the Fourth Proportional to 2,194.34, 3,028.19 and 1,199.62

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Solution

The fourth proportional to 2,194.34, 3,028.19 and 1,199.62 is: 1,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.34 : 3,028.19 = 1,199.62 : x
  2. Step 2: Convert to fraction form
    2,194.34/3,028.19 = 1,199.62/x
  3. Step 3: Cross multiply
    2,194.34x = 3,028.19 × 1,199.62
  4. Step 4: Simplify right side
    2,194.34x = 3,632,660.17
  5. Step 5: Solve for x
    x = 3,632,660.17/2,194.34
  6. Step 6: Final answer
    x = 1,655.47

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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.