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Finding the Fourth Proportional to 2,441.82, 3,663.07 and 797.95

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Solution

The fourth proportional to 2,441.82, 3,663.07 and 797.95 is: 1,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.82 : 3,663.07 = 797.95 : x
  2. Step 2: Convert to fraction form
    2,441.82/3,663.07 = 797.95/x
  3. Step 3: Cross multiply
    2,441.82x = 3,663.07 × 797.95
  4. Step 4: Simplify right side
    2,441.82x = 2,922,935.55
  5. Step 5: Solve for x
    x = 2,922,935.55/2,441.82
  6. Step 6: Final answer
    x = 1,197.03

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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.