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Finding the Fourth Proportional to 1,819.92, 2,730.15 and 724.26

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Solution

The fourth proportional to 1,819.92, 2,730.15 and 724.26 is: 1,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.92 : 2,730.15 = 724.26 : x
  2. Step 2: Convert to fraction form
    1,819.92/2,730.15 = 724.26/x
  3. Step 3: Cross multiply
    1,819.92x = 2,730.15 × 724.26
  4. Step 4: Simplify right side
    1,819.92x = 1,977,338.44
  5. Step 5: Solve for x
    x = 1,977,338.44/1,819.92
  6. Step 6: Final answer
    x = 1,086.50

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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.