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Finding the Fourth Proportional to 2,192.96, 3,287.52 and 825.92

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Solution

The fourth proportional to 2,192.96, 3,287.52 and 825.92 is: 1,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.96 : 3,287.52 = 825.92 : x
  2. Step 2: Convert to fraction form
    2,192.96/3,287.52 = 825.92/x
  3. Step 3: Cross multiply
    2,192.96x = 3,287.52 × 825.92
  4. Step 4: Simplify right side
    2,192.96x = 2,715,228.52
  5. Step 5: Solve for x
    x = 2,715,228.52/2,192.96
  6. Step 6: Final answer
    x = 1,238.16

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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.