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Finding the Fourth Proportional to 1,824.82, 2,519.15 and 1,238.42

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Solution

The fourth proportional to 1,824.82, 2,519.15 and 1,238.42 is: 1,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.82 : 2,519.15 = 1,238.42 : x
  2. Step 2: Convert to fraction form
    1,824.82/2,519.15 = 1,238.42/x
  3. Step 3: Cross multiply
    1,824.82x = 2,519.15 × 1,238.42
  4. Step 4: Simplify right side
    1,824.82x = 3,119,765.85
  5. Step 5: Solve for x
    x = 3,119,765.85/1,824.82
  6. Step 6: Final answer
    x = 1,709.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.