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Finding the Fourth Proportional to 3,397.73, 4,689.89 and 2,202.77

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Solution

The fourth proportional to 3,397.73, 4,689.89 and 2,202.77 is: 3,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.73 : 4,689.89 = 2,202.77 : x
  2. Step 2: Convert to fraction form
    3,397.73/4,689.89 = 2,202.77/x
  3. Step 3: Cross multiply
    3,397.73x = 4,689.89 × 2,202.77
  4. Step 4: Simplify right side
    3,397.73x = 10,330,714.53
  5. Step 5: Solve for x
    x = 10,330,714.53/3,397.73
  6. Step 6: Final answer
    x = 3,040.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.