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Finding the Fourth Proportional to 2,944.92, 4,062.97 and 1,825.44

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Solution

The fourth proportional to 2,944.92, 4,062.97 and 1,825.44 is: 2,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.92 : 4,062.97 = 1,825.44 : x
  2. Step 2: Convert to fraction form
    2,944.92/4,062.97 = 1,825.44/x
  3. Step 3: Cross multiply
    2,944.92x = 4,062.97 × 1,825.44
  4. Step 4: Simplify right side
    2,944.92x = 7,416,724.15
  5. Step 5: Solve for x
    x = 7,416,724.15/2,944.92
  6. Step 6: Final answer
    x = 2,518.48

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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.