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Finding the Fourth Proportional to 2,867, 3,954.24 and 1,747.52

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Solution

The fourth proportional to 2,867, 3,954.24 and 1,747.52 is: 2,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867 : 3,954.24 = 1,747.52 : x
  2. Step 2: Convert to fraction form
    2,867/3,954.24 = 1,747.52/x
  3. Step 3: Cross multiply
    2,867x = 3,954.24 × 1,747.52
  4. Step 4: Simplify right side
    2,867x = 6,910,113.48
  5. Step 5: Solve for x
    x = 6,910,113.48/2,867
  6. Step 6: Final answer
    x = 2,410.22

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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.