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Finding the Fourth Proportional to 2,749.73, 4,124.82 and 995.78

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Solution

The fourth proportional to 2,749.73, 4,124.82 and 995.78 is: 1,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.73 : 4,124.82 = 995.78 : x
  2. Step 2: Convert to fraction form
    2,749.73/4,124.82 = 995.78/x
  3. Step 3: Cross multiply
    2,749.73x = 4,124.82 × 995.78
  4. Step 4: Simplify right side
    2,749.73x = 4,107,392.64
  5. Step 5: Solve for x
    x = 4,107,392.64/2,749.73
  6. Step 6: Final answer
    x = 1,493.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.