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Finding the Fourth Proportional to 2,229.24, 3,344.02 and 768.40

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Solution

The fourth proportional to 2,229.24, 3,344.02 and 768.40 is: 1,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.24 : 3,344.02 = 768.40 : x
  2. Step 2: Convert to fraction form
    2,229.24/3,344.02 = 768.40/x
  3. Step 3: Cross multiply
    2,229.24x = 3,344.02 × 768.40
  4. Step 4: Simplify right side
    2,229.24x = 2,569,544.97
  5. Step 5: Solve for x
    x = 2,569,544.97/2,229.24
  6. Step 6: Final answer
    x = 1,152.66

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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.