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Finding the Fourth Proportional to 2,204.78, 3,304.93 and 742.73

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Solution

The fourth proportional to 2,204.78, 3,304.93 and 742.73 is: 1,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.78 : 3,304.93 = 742.73 : x
  2. Step 2: Convert to fraction form
    2,204.78/3,304.93 = 742.73/x
  3. Step 3: Cross multiply
    2,204.78x = 3,304.93 × 742.73
  4. Step 4: Simplify right side
    2,204.78x = 2,454,670.66
  5. Step 5: Solve for x
    x = 2,454,670.66/2,204.78
  6. Step 6: Final answer
    x = 1,113.34

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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.