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Finding the Fourth Proportional to 3,069.74, 4,604.69 and 1,221.73

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Solution

The fourth proportional to 3,069.74, 4,604.69 and 1,221.73 is: 1,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.74 : 4,604.69 = 1,221.73 : x
  2. Step 2: Convert to fraction form
    3,069.74/4,604.69 = 1,221.73/x
  3. Step 3: Cross multiply
    3,069.74x = 4,604.69 × 1,221.73
  4. Step 4: Simplify right side
    3,069.74x = 5,625,687.91
  5. Step 5: Solve for x
    x = 5,625,687.91/3,069.74
  6. Step 6: Final answer
    x = 1,832.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.