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Finding the Fourth Proportional to 1,519.56, 2,098.02 and 996.48

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Solution

The fourth proportional to 1,519.56, 2,098.02 and 996.48 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.56 : 2,098.02 = 996.48 : x
  2. Step 2: Convert to fraction form
    1,519.56/2,098.02 = 996.48/x
  3. Step 3: Cross multiply
    1,519.56x = 2,098.02 × 996.48
  4. Step 4: Simplify right side
    1,519.56x = 2,090,634.97
  5. Step 5: Solve for x
    x = 2,090,634.97/1,519.56
  6. Step 6: Final answer
    x = 1,375.82

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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.