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Finding the Fourth Proportional to 2,144.64, 2,960.16 and 1,213.44

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Solution

The fourth proportional to 2,144.64, 2,960.16 and 1,213.44 is: 1,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.64 : 2,960.16 = 1,213.44 : x
  2. Step 2: Convert to fraction form
    2,144.64/2,960.16 = 1,213.44/x
  3. Step 3: Cross multiply
    2,144.64x = 2,960.16 × 1,213.44
  4. Step 4: Simplify right side
    2,144.64x = 3,591,976.55
  5. Step 5: Solve for x
    x = 3,591,976.55/2,144.64
  6. Step 6: Final answer
    x = 1,674.86

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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.