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Finding the Fourth Proportional to 2,672.02, 4,007.49 and 822.52

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Solution

The fourth proportional to 2,672.02, 4,007.49 and 822.52 is: 1,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.02 : 4,007.49 = 822.52 : x
  2. Step 2: Convert to fraction form
    2,672.02/4,007.49 = 822.52/x
  3. Step 3: Cross multiply
    2,672.02x = 4,007.49 × 822.52
  4. Step 4: Simplify right side
    2,672.02x = 3,296,240.67
  5. Step 5: Solve for x
    x = 3,296,240.67/2,672.02
  6. Step 6: Final answer
    x = 1,233.61

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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.