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Finding the Fourth Proportional to 2,672.43, 4,009.17 and 823.23

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Solution

The fourth proportional to 2,672.43, 4,009.17 and 823.23 is: 1,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.43 : 4,009.17 = 823.23 : x
  2. Step 2: Convert to fraction form
    2,672.43/4,009.17 = 823.23/x
  3. Step 3: Cross multiply
    2,672.43x = 4,009.17 × 823.23
  4. Step 4: Simplify right side
    2,672.43x = 3,300,469.02
  5. Step 5: Solve for x
    x = 3,300,469.02/2,672.43
  6. Step 6: Final answer
    x = 1,235.01

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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.