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Finding the Fourth Proportional to 2,161.21, 3,241.27 and 622.21

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Solution

The fourth proportional to 2,161.21, 3,241.27 and 622.21 is: 933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.21 : 3,241.27 = 622.21 : x
  2. Step 2: Convert to fraction form
    2,161.21/3,241.27 = 622.21/x
  3. Step 3: Cross multiply
    2,161.21x = 3,241.27 × 622.21
  4. Step 4: Simplify right side
    2,161.21x = 2,016,750.61
  5. Step 5: Solve for x
    x = 2,016,750.61/2,161.21
  6. Step 6: Final answer
    x = 933.16

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1.5x scale

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.