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Finding the Fourth Proportional to 2,768.85, 4,153.23 and 821.07

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Solution

The fourth proportional to 2,768.85, 4,153.23 and 821.07 is: 1,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.85 : 4,153.23 = 821.07 : x
  2. Step 2: Convert to fraction form
    2,768.85/4,153.23 = 821.07/x
  3. Step 3: Cross multiply
    2,768.85x = 4,153.23 × 821.07
  4. Step 4: Simplify right side
    2,768.85x = 3,410,092.56
  5. Step 5: Solve for x
    x = 3,410,092.56/2,768.85
  6. Step 6: Final answer
    x = 1,231.59

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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.