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Finding the Fourth Proportional to 3,306.80, 4,562.55 and 2,645

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Solution

The fourth proportional to 3,306.80, 4,562.55 and 2,645 is: 3,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.80 : 4,562.55 = 2,645 : x
  2. Step 2: Convert to fraction form
    3,306.80/4,562.55 = 2,645/x
  3. Step 3: Cross multiply
    3,306.80x = 4,562.55 × 2,645
  4. Step 4: Simplify right side
    3,306.80x = 12,067,944.75
  5. Step 5: Solve for x
    x = 12,067,944.75/3,306.80
  6. Step 6: Final answer
    x = 3,649.43

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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.