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Finding the Fourth Proportional to 2,671.37, 4,007.43 and 822.63

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Solution

The fourth proportional to 2,671.37, 4,007.43 and 822.63 is: 1,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.37 : 4,007.43 = 822.63 : x
  2. Step 2: Convert to fraction form
    2,671.37/4,007.43 = 822.63/x
  3. Step 3: Cross multiply
    2,671.37x = 4,007.43 × 822.63
  4. Step 4: Simplify right side
    2,671.37x = 3,296,629.06
  5. Step 5: Solve for x
    x = 3,296,629.06/2,671.37
  6. Step 6: Final answer
    x = 1,234.06

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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.