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Finding the Fourth Proportional to 2,061.98, 3,092.19 and 828.97

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Solution

The fourth proportional to 2,061.98, 3,092.19 and 828.97 is: 1,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.98 : 3,092.19 = 828.97 : x
  2. Step 2: Convert to fraction form
    2,061.98/3,092.19 = 828.97/x
  3. Step 3: Cross multiply
    2,061.98x = 3,092.19 × 828.97
  4. Step 4: Simplify right side
    2,061.98x = 2,563,321.91
  5. Step 5: Solve for x
    x = 2,563,321.91/2,061.98
  6. Step 6: Final answer
    x = 1,243.14

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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.