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Finding the Fourth Proportional to 2,204.76, 3,304.84 and 743.41

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Solution

The fourth proportional to 2,204.76, 3,304.84 and 743.41 is: 1,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.76 : 3,304.84 = 743.41 : x
  2. Step 2: Convert to fraction form
    2,204.76/3,304.84 = 743.41/x
  3. Step 3: Cross multiply
    2,204.76x = 3,304.84 × 743.41
  4. Step 4: Simplify right side
    2,204.76x = 2,456,851.10
  5. Step 5: Solve for x
    x = 2,456,851.10/2,204.76
  6. Step 6: Final answer
    x = 1,114.34

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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.