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Finding the Fourth Proportional to 3,361.53, 4,638.22 and 2,164.65

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Solution

The fourth proportional to 3,361.53, 4,638.22 and 2,164.65 is: 2,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.53 : 4,638.22 = 2,164.65 : x
  2. Step 2: Convert to fraction form
    3,361.53/4,638.22 = 2,164.65/x
  3. Step 3: Cross multiply
    3,361.53x = 4,638.22 × 2,164.65
  4. Step 4: Simplify right side
    3,361.53x = 10,040,122.92
  5. Step 5: Solve for x
    x = 10,040,122.92/3,361.53
  6. Step 6: Final answer
    x = 2,986.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.