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Finding the Fourth Proportional to 3,073.96, 4,611.60 and 994.12

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Solution

The fourth proportional to 3,073.96, 4,611.60 and 994.12 is: 1,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.96 : 4,611.60 = 994.12 : x
  2. Step 2: Convert to fraction form
    3,073.96/4,611.60 = 994.12/x
  3. Step 3: Cross multiply
    3,073.96x = 4,611.60 × 994.12
  4. Step 4: Simplify right side
    3,073.96x = 4,584,483.79
  5. Step 5: Solve for x
    x = 4,584,483.79/3,073.96
  6. Step 6: Final answer
    x = 1,491.39

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Double scale
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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.