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Finding the Fourth Proportional to 1,519.51, 2,277.21 and 998.73

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Solution

The fourth proportional to 1,519.51, 2,277.21 and 998.73 is: 1,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.51 : 2,277.21 = 998.73 : x
  2. Step 2: Convert to fraction form
    1,519.51/2,277.21 = 998.73/x
  3. Step 3: Cross multiply
    1,519.51x = 2,277.21 × 998.73
  4. Step 4: Simplify right side
    1,519.51x = 2,274,321.69
  5. Step 5: Solve for x
    x = 2,274,321.69/1,519.51
  6. Step 6: Final answer
    x = 1,496.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.