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Finding the Fourth Proportional to 2,449.72, 3,674.92 and 806.38

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Solution

The fourth proportional to 2,449.72, 3,674.92 and 806.38 is: 1,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.72 : 3,674.92 = 806.38 : x
  2. Step 2: Convert to fraction form
    2,449.72/3,674.92 = 806.38/x
  3. Step 3: Cross multiply
    2,449.72x = 3,674.92 × 806.38
  4. Step 4: Simplify right side
    2,449.72x = 2,963,381.99
  5. Step 5: Solve for x
    x = 2,963,381.99/2,449.72
  6. Step 6: Final answer
    x = 1,209.68

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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.