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Finding the Fourth Proportional to 2,061.36, 3,092.31 and 828.72

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Solution

The fourth proportional to 2,061.36, 3,092.31 and 828.72 is: 1,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.36 : 3,092.31 = 828.72 : x
  2. Step 2: Convert to fraction form
    2,061.36/3,092.31 = 828.72/x
  3. Step 3: Cross multiply
    2,061.36x = 3,092.31 × 828.72
  4. Step 4: Simplify right side
    2,061.36x = 2,562,659.14
  5. Step 5: Solve for x
    x = 2,562,659.14/2,061.36
  6. Step 6: Final answer
    x = 1,243.19

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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.