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Finding the Fourth Proportional to 1,819.29, 2,728.90 and 1,299.52

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Solution

The fourth proportional to 1,819.29, 2,728.90 and 1,299.52 is: 1,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.29 : 2,728.90 = 1,299.52 : x
  2. Step 2: Convert to fraction form
    1,819.29/2,728.90 = 1,299.52/x
  3. Step 3: Cross multiply
    1,819.29x = 2,728.90 × 1,299.52
  4. Step 4: Simplify right side
    1,819.29x = 3,546,260.13
  5. Step 5: Solve for x
    x = 3,546,260.13/1,819.29
  6. Step 6: Final answer
    x = 1,949.25

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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.