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Finding the Fourth Proportional to 2,204.37, 3,307.04 and 743.48

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Solution

The fourth proportional to 2,204.37, 3,307.04 and 743.48 is: 1,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.37 : 3,307.04 = 743.48 : x
  2. Step 2: Convert to fraction form
    2,204.37/3,307.04 = 743.48/x
  3. Step 3: Cross multiply
    2,204.37x = 3,307.04 × 743.48
  4. Step 4: Simplify right side
    2,204.37x = 2,458,735.82
  5. Step 5: Solve for x
    x = 2,458,735.82/2,204.37
  6. Step 6: Final answer
    x = 1,115.39

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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.