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Finding the Fourth Proportional to 2,671.55, 4,007.71 and 822.82

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Solution

The fourth proportional to 2,671.55, 4,007.71 and 822.82 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.55 : 4,007.71 = 822.82 : x
  2. Step 2: Convert to fraction form
    2,671.55/4,007.71 = 822.82/x
  3. Step 3: Cross multiply
    2,671.55x = 4,007.71 × 822.82
  4. Step 4: Simplify right side
    2,671.55x = 3,297,611.87
  5. Step 5: Solve for x
    x = 3,297,611.87/2,671.55
  6. Step 6: Final answer
    x = 1,234.34

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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.