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Finding the Fourth Proportional to 3,074.62, 4,611.84 and 994.64

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Solution

The fourth proportional to 3,074.62, 4,611.84 and 994.64 is: 1,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.62 : 4,611.84 = 994.64 : x
  2. Step 2: Convert to fraction form
    3,074.62/4,611.84 = 994.64/x
  3. Step 3: Cross multiply
    3,074.62x = 4,611.84 × 994.64
  4. Step 4: Simplify right side
    3,074.62x = 4,587,120.54
  5. Step 5: Solve for x
    x = 4,587,120.54/3,074.62
  6. Step 6: Final answer
    x = 1,491.93

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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.