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Finding the Fourth Proportional to 1,889.12, 2,814.29 and 1,819.44

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Solution

The fourth proportional to 1,889.12, 2,814.29 and 1,819.44 is: 2,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.12 : 2,814.29 = 1,819.44 : x
  2. Step 2: Convert to fraction form
    1,889.12/2,814.29 = 1,819.44/x
  3. Step 3: Cross multiply
    1,889.12x = 2,814.29 × 1,819.44
  4. Step 4: Simplify right side
    1,889.12x = 5,120,431.80
  5. Step 5: Solve for x
    x = 5,120,431.80/1,889.12
  6. Step 6: Final answer
    x = 2,710.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.