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Finding the Fourth Proportional to 2,797.93, 4,196.31 and 823.03

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Solution

The fourth proportional to 2,797.93, 4,196.31 and 823.03 is: 1,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.93 : 4,196.31 = 823.03 : x
  2. Step 2: Convert to fraction form
    2,797.93/4,196.31 = 823.03/x
  3. Step 3: Cross multiply
    2,797.93x = 4,196.31 × 823.03
  4. Step 4: Simplify right side
    2,797.93x = 3,453,689.02
  5. Step 5: Solve for x
    x = 3,453,689.02/2,797.93
  6. Step 6: Final answer
    x = 1,234.37

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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.