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Finding the Fourth Proportional to 3,076.31, 4,613.43 and 995.75

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Solution

The fourth proportional to 3,076.31, 4,613.43 and 995.75 is: 1,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.31 : 4,613.43 = 995.75 : x
  2. Step 2: Convert to fraction form
    3,076.31/4,613.43 = 995.75/x
  3. Step 3: Cross multiply
    3,076.31x = 4,613.43 × 995.75
  4. Step 4: Simplify right side
    3,076.31x = 4,593,799.86
  5. Step 5: Solve for x
    x = 4,593,799.86/3,076.31
  6. Step 6: Final answer
    x = 1,493.28

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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.