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Finding the Fourth Proportional to 2,204.36, 3,306.55 and 743.52

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Solution

The fourth proportional to 2,204.36, 3,306.55 and 743.52 is: 1,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.36 : 3,306.55 = 743.52 : x
  2. Step 2: Convert to fraction form
    2,204.36/3,306.55 = 743.52/x
  3. Step 3: Cross multiply
    2,204.36x = 3,306.55 × 743.52
  4. Step 4: Simplify right side
    2,204.36x = 2,458,486.06
  5. Step 5: Solve for x
    x = 2,458,486.06/2,204.36
  6. Step 6: Final answer
    x = 1,115.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.