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Finding the Fourth Proportional to 2,605.73, 3,908.64 and 961.43

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Solution

The fourth proportional to 2,605.73, 3,908.64 and 961.43 is: 1,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.73 : 3,908.64 = 961.43 : x
  2. Step 2: Convert to fraction form
    2,605.73/3,908.64 = 961.43/x
  3. Step 3: Cross multiply
    2,605.73x = 3,908.64 × 961.43
  4. Step 4: Simplify right side
    2,605.73x = 3,757,883.76
  5. Step 5: Solve for x
    x = 3,757,883.76/2,605.73
  6. Step 6: Final answer
    x = 1,442.16

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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.