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Finding the Fourth Proportional to 3,230.97, 4,834.24 and 1,915.43

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Solution

The fourth proportional to 3,230.97, 4,834.24 and 1,915.43 is: 2,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.97 : 4,834.24 = 1,915.43 : x
  2. Step 2: Convert to fraction form
    3,230.97/4,834.24 = 1,915.43/x
  3. Step 3: Cross multiply
    3,230.97x = 4,834.24 × 1,915.43
  4. Step 4: Simplify right side
    3,230.97x = 9,259,648.32
  5. Step 5: Solve for x
    x = 9,259,648.32/3,230.97
  6. Step 6: Final answer
    x = 2,865.90

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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.