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Finding the Fourth Proportional to 3,185.97, 4,778.72 and 994.63

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Solution

The fourth proportional to 3,185.97, 4,778.72 and 994.63 is: 1,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.97 : 4,778.72 = 994.63 : x
  2. Step 2: Convert to fraction form
    3,185.97/4,778.72 = 994.63/x
  3. Step 3: Cross multiply
    3,185.97x = 4,778.72 × 994.63
  4. Step 4: Simplify right side
    3,185.97x = 4,753,029.41
  5. Step 5: Solve for x
    x = 4,753,029.41/3,185.97
  6. Step 6: Final answer
    x = 1,491.86

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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.