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Finding the Fourth Proportional to 2,812.73, 4,219.09 and 732.73

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Solution

The fourth proportional to 2,812.73, 4,219.09 and 732.73 is: 1,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.73 : 4,219.09 = 732.73 : x
  2. Step 2: Convert to fraction form
    2,812.73/4,219.09 = 732.73/x
  3. Step 3: Cross multiply
    2,812.73x = 4,219.09 × 732.73
  4. Step 4: Simplify right side
    2,812.73x = 3,091,432.72
  5. Step 5: Solve for x
    x = 3,091,432.72/2,812.73
  6. Step 6: Final answer
    x = 1,099.09

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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.