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Finding the Fourth Proportional to 2,770.56, 4,155.88 and 822.82

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Solution

The fourth proportional to 2,770.56, 4,155.88 and 822.82 is: 1,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.56 : 4,155.88 = 822.82 : x
  2. Step 2: Convert to fraction form
    2,770.56/4,155.88 = 822.82/x
  3. Step 3: Cross multiply
    2,770.56x = 4,155.88 × 822.82
  4. Step 4: Simplify right side
    2,770.56x = 3,419,541.18
  5. Step 5: Solve for x
    x = 3,419,541.18/2,770.56
  6. Step 6: Final answer
    x = 1,234.24

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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.