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Finding the Fourth Proportional to 3,164.88, 4,367.53 and 1,767.63

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Solution

The fourth proportional to 3,164.88, 4,367.53 and 1,767.63 is: 2,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.88 : 4,367.53 = 1,767.63 : x
  2. Step 2: Convert to fraction form
    3,164.88/4,367.53 = 1,767.63/x
  3. Step 3: Cross multiply
    3,164.88x = 4,367.53 × 1,767.63
  4. Step 4: Simplify right side
    3,164.88x = 7,720,177.05
  5. Step 5: Solve for x
    x = 7,720,177.05/3,164.88
  6. Step 6: Final answer
    x = 2,439.33

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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.