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Finding the Fourth Proportional to 2,441.90, 3,661.22 and 797.87

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Solution

The fourth proportional to 2,441.90, 3,661.22 and 797.87 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.90 : 3,661.22 = 797.87 : x
  2. Step 2: Convert to fraction form
    2,441.90/3,661.22 = 797.87/x
  3. Step 3: Cross multiply
    2,441.90x = 3,661.22 × 797.87
  4. Step 4: Simplify right side
    2,441.90x = 2,921,155.31
  5. Step 5: Solve for x
    x = 2,921,155.31/2,441.90
  6. Step 6: Final answer
    x = 1,196.27

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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.