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Finding the Fourth Proportional to 2,605.18, 3,908.21 and 961.73

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Solution

The fourth proportional to 2,605.18, 3,908.21 and 961.73 is: 1,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.18 : 3,908.21 = 961.73 : x
  2. Step 2: Convert to fraction form
    2,605.18/3,908.21 = 961.73/x
  3. Step 3: Cross multiply
    2,605.18x = 3,908.21 × 961.73
  4. Step 4: Simplify right side
    2,605.18x = 3,758,646.49
  5. Step 5: Solve for x
    x = 3,758,646.49/2,605.18
  6. Step 6: Final answer
    x = 1,442.76

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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.