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Finding the Fourth Proportional to 2,441.19, 3,662.24 and 797.82

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Solution

The fourth proportional to 2,441.19, 3,662.24 and 797.82 is: 1,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.19 : 3,662.24 = 797.82 : x
  2. Step 2: Convert to fraction form
    2,441.19/3,662.24 = 797.82/x
  3. Step 3: Cross multiply
    2,441.19x = 3,662.24 × 797.82
  4. Step 4: Simplify right side
    2,441.19x = 2,921,823.74
  5. Step 5: Solve for x
    x = 2,921,823.74/2,441.19
  6. Step 6: Final answer
    x = 1,196.89

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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.