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Finding the Fourth Proportional to 3,074.37, 4,611.97 and 993.68

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Solution

The fourth proportional to 3,074.37, 4,611.97 and 993.68 is: 1,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.37 : 4,611.97 = 993.68 : x
  2. Step 2: Convert to fraction form
    3,074.37/4,611.97 = 993.68/x
  3. Step 3: Cross multiply
    3,074.37x = 4,611.97 × 993.68
  4. Step 4: Simplify right side
    3,074.37x = 4,582,822.35
  5. Step 5: Solve for x
    x = 4,582,822.35/3,074.37
  6. Step 6: Final answer
    x = 1,490.65

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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.