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Finding the Fourth Proportional to 3,185.24, 4,777.86 and 993.97

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Solution

The fourth proportional to 3,185.24, 4,777.86 and 993.97 is: 1,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.24 : 4,777.86 = 993.97 : x
  2. Step 2: Convert to fraction form
    3,185.24/4,777.86 = 993.97/x
  3. Step 3: Cross multiply
    3,185.24x = 4,777.86 × 993.97
  4. Step 4: Simplify right side
    3,185.24x = 4,749,035.07
  5. Step 5: Solve for x
    x = 4,749,035.07/3,185.24
  6. Step 6: Final answer
    x = 1,490.95

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Similar ratio
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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.