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Finding the Fourth Proportional to 3,453.72, 4,765.95 and 1,961.84

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Solution

The fourth proportional to 3,453.72, 4,765.95 and 1,961.84 is: 2,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.72 : 4,765.95 = 1,961.84 : x
  2. Step 2: Convert to fraction form
    3,453.72/4,765.95 = 1,961.84/x
  3. Step 3: Cross multiply
    3,453.72x = 4,765.95 × 1,961.84
  4. Step 4: Simplify right side
    3,453.72x = 9,350,007.52
  5. Step 5: Solve for x
    x = 9,350,007.52/3,453.72
  6. Step 6: Final answer
    x = 2,707.23

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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.