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Finding the Fourth Proportional to 2,463.11, 3,693.60 and 796.74

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Solution

The fourth proportional to 2,463.11, 3,693.60 and 796.74 is: 1,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.11 : 3,693.60 = 796.74 : x
  2. Step 2: Convert to fraction form
    2,463.11/3,693.60 = 796.74/x
  3. Step 3: Cross multiply
    2,463.11x = 3,693.60 × 796.74
  4. Step 4: Simplify right side
    2,463.11x = 2,942,825.01
  5. Step 5: Solve for x
    x = 2,942,825.01/2,463.11
  6. Step 6: Final answer
    x = 1,194.76

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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.