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Finding the Fourth Proportional to 3,164.92, 4,367.76 and 1,767.64

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Solution

The fourth proportional to 3,164.92, 4,367.76 and 1,767.64 is: 2,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.92 : 4,367.76 = 1,767.64 : x
  2. Step 2: Convert to fraction form
    3,164.92/4,367.76 = 1,767.64/x
  3. Step 3: Cross multiply
    3,164.92x = 4,367.76 × 1,767.64
  4. Step 4: Simplify right side
    3,164.92x = 7,720,627.29
  5. Step 5: Solve for x
    x = 7,720,627.29/3,164.92
  6. Step 6: Final answer
    x = 2,439.44

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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.