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Finding the Fourth Proportional to 2,202.83, 3,304 and 1,162.41

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Solution

The fourth proportional to 2,202.83, 3,304 and 1,162.41 is: 1,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.83 : 3,304 = 1,162.41 : x
  2. Step 2: Convert to fraction form
    2,202.83/3,304 = 1,162.41/x
  3. Step 3: Cross multiply
    2,202.83x = 3,304 × 1,162.41
  4. Step 4: Simplify right side
    2,202.83x = 3,840,602.64
  5. Step 5: Solve for x
    x = 3,840,602.64/2,202.83
  6. Step 6: Final answer
    x = 1,743.49

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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.