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Finding the Fourth Proportional to 2,203.25, 3,305.31 and 742.82

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Solution

The fourth proportional to 2,203.25, 3,305.31 and 742.82 is: 1,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.25 : 3,305.31 = 742.82 : x
  2. Step 2: Convert to fraction form
    2,203.25/3,305.31 = 742.82/x
  3. Step 3: Cross multiply
    2,203.25x = 3,305.31 × 742.82
  4. Step 4: Simplify right side
    2,203.25x = 2,455,231.06
  5. Step 5: Solve for x
    x = 2,455,231.06/2,203.25
  6. Step 6: Final answer
    x = 1,114.37

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Why These Related Problems?

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