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Finding the Fourth Proportional to 2,770.77, 4,156.07 and 822.90

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Solution

The fourth proportional to 2,770.77, 4,156.07 and 822.90 is: 1,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.77 : 4,156.07 = 822.90 : x
  2. Step 2: Convert to fraction form
    2,770.77/4,156.07 = 822.90/x
  3. Step 3: Cross multiply
    2,770.77x = 4,156.07 × 822.90
  4. Step 4: Simplify right side
    2,770.77x = 3,420,025.89
  5. Step 5: Solve for x
    x = 3,420,025.89/2,770.77
  6. Step 6: Final answer
    x = 1,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.