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Finding the Fourth Proportional to 2,194.28, 3,028.02 and 1,199.54

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Solution

The fourth proportional to 2,194.28, 3,028.02 and 1,199.54 is: 1,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.28 : 3,028.02 = 1,199.54 : x
  2. Step 2: Convert to fraction form
    2,194.28/3,028.02 = 1,199.54/x
  3. Step 3: Cross multiply
    2,194.28x = 3,028.02 × 1,199.54
  4. Step 4: Simplify right side
    2,194.28x = 3,632,231.11
  5. Step 5: Solve for x
    x = 3,632,231.11/2,194.28
  6. Step 6: Final answer
    x = 1,655.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.