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Finding the Fourth Proportional to 2,001.96, 2,747.82 and 1,835.82

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Solution

The fourth proportional to 2,001.96, 2,747.82 and 1,835.82 is: 2,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.96 : 2,747.82 = 1,835.82 : x
  2. Step 2: Convert to fraction form
    2,001.96/2,747.82 = 1,835.82/x
  3. Step 3: Cross multiply
    2,001.96x = 2,747.82 × 1,835.82
  4. Step 4: Simplify right side
    2,001.96x = 5,044,502.91
  5. Step 5: Solve for x
    x = 5,044,502.91/2,001.96
  6. Step 6: Final answer
    x = 2,519.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.