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Finding the Fourth Proportional to 2,061.15, 3,092.87 and 828.22

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Solution

The fourth proportional to 2,061.15, 3,092.87 and 828.22 is: 1,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.15 : 3,092.87 = 828.22 : x
  2. Step 2: Convert to fraction form
    2,061.15/3,092.87 = 828.22/x
  3. Step 3: Cross multiply
    2,061.15x = 3,092.87 × 828.22
  4. Step 4: Simplify right side
    2,061.15x = 2,561,576.79
  5. Step 5: Solve for x
    x = 2,561,576.79/2,061.15
  6. Step 6: Final answer
    x = 1,242.79

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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.