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Finding the Fourth Proportional to 2,119.92, 3,179.88 and 733.29

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Solution

The fourth proportional to 2,119.92, 3,179.88 and 733.29 is: 1,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.92 : 3,179.88 = 733.29 : x
  2. Step 2: Convert to fraction form
    2,119.92/3,179.88 = 733.29/x
  3. Step 3: Cross multiply
    2,119.92x = 3,179.88 × 733.29
  4. Step 4: Simplify right side
    2,119.92x = 2,331,774.21
  5. Step 5: Solve for x
    x = 2,331,774.21/2,119.92
  6. Step 6: Final answer
    x = 1,099.94

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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.