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Finding the Fourth Proportional to 2,562.06, 3,843.18 and 2,153.82

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Solution

The fourth proportional to 2,562.06, 3,843.18 and 2,153.82 is: 3,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.06 : 3,843.18 = 2,153.82 : x
  2. Step 2: Convert to fraction form
    2,562.06/3,843.18 = 2,153.82/x
  3. Step 3: Cross multiply
    2,562.06x = 3,843.18 × 2,153.82
  4. Step 4: Simplify right side
    2,562.06x = 8,277,517.95
  5. Step 5: Solve for x
    x = 8,277,517.95/2,562.06
  6. Step 6: Final answer
    x = 3,230.81

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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.