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Finding the Fourth Proportional to 2,410.92, 3,616.38 and 767.97

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Solution

The fourth proportional to 2,410.92, 3,616.38 and 767.97 is: 1,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.92 : 3,616.38 = 767.97 : x
  2. Step 2: Convert to fraction form
    2,410.92/3,616.38 = 767.97/x
  3. Step 3: Cross multiply
    2,410.92x = 3,616.38 × 767.97
  4. Step 4: Simplify right side
    2,410.92x = 2,777,271.35
  5. Step 5: Solve for x
    x = 2,777,271.35/2,410.92
  6. Step 6: Final answer
    x = 1,151.96

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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.