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Finding the Fourth Proportional to 2,672.17, 4,008.28 and 823.30

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Solution

The fourth proportional to 2,672.17, 4,008.28 and 823.30 is: 1,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.17 : 4,008.28 = 823.30 : x
  2. Step 2: Convert to fraction form
    2,672.17/4,008.28 = 823.30/x
  3. Step 3: Cross multiply
    2,672.17x = 4,008.28 × 823.30
  4. Step 4: Simplify right side
    2,672.17x = 3,300,014.87
  5. Step 5: Solve for x
    x = 3,300,014.87/2,672.17
  6. Step 6: Final answer
    x = 1,234.96

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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.