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Finding the Fourth Proportional to 2,960.73, 4,085.73 and 1,616.38

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Solution

The fourth proportional to 2,960.73, 4,085.73 and 1,616.38 is: 2,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.73 : 4,085.73 = 1,616.38 : x
  2. Step 2: Convert to fraction form
    2,960.73/4,085.73 = 1,616.38/x
  3. Step 3: Cross multiply
    2,960.73x = 4,085.73 × 1,616.38
  4. Step 4: Simplify right side
    2,960.73x = 6,604,082.04
  5. Step 5: Solve for x
    x = 6,604,082.04/2,960.73
  6. Step 6: Final answer
    x = 2,230.56

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Why These Related Problems?

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