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Finding the Fourth Proportional to 2,672.42, 4,007.15 and 823.01

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Solution

The fourth proportional to 2,672.42, 4,007.15 and 823.01 is: 1,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.42 : 4,007.15 = 823.01 : x
  2. Step 2: Convert to fraction form
    2,672.42/4,007.15 = 823.01/x
  3. Step 3: Cross multiply
    2,672.42x = 4,007.15 × 823.01
  4. Step 4: Simplify right side
    2,672.42x = 3,297,930.42
  5. Step 5: Solve for x
    x = 3,297,930.42/2,672.42
  6. Step 6: Final answer
    x = 1,234.06

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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.