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Finding the Fourth Proportional to 2,013.82, 3,020.38 and 552.66

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Solution

The fourth proportional to 2,013.82, 3,020.38 and 552.66 is: 828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.82 : 3,020.38 = 552.66 : x
  2. Step 2: Convert to fraction form
    2,013.82/3,020.38 = 552.66/x
  3. Step 3: Cross multiply
    2,013.82x = 3,020.38 × 552.66
  4. Step 4: Simplify right side
    2,013.82x = 1,669,243.21
  5. Step 5: Solve for x
    x = 1,669,243.21/2,013.82
  6. Step 6: Final answer
    x = 828.89

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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.