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Finding the Fourth Proportional to 2,201.21, 3,302.41 and 795.77

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Solution

The fourth proportional to 2,201.21, 3,302.41 and 795.77 is: 1,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.21 : 3,302.41 = 795.77 : x
  2. Step 2: Convert to fraction form
    2,201.21/3,302.41 = 795.77/x
  3. Step 3: Cross multiply
    2,201.21x = 3,302.41 × 795.77
  4. Step 4: Simplify right side
    2,201.21x = 2,627,958.81
  5. Step 5: Solve for x
    x = 2,627,958.81/2,201.21
  6. Step 6: Final answer
    x = 1,193.87

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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.