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Finding the Fourth Proportional to 2,673.67, 4,010.61 and 824.62

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Solution

The fourth proportional to 2,673.67, 4,010.61 and 824.62 is: 1,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.67 : 4,010.61 = 824.62 : x
  2. Step 2: Convert to fraction form
    2,673.67/4,010.61 = 824.62/x
  3. Step 3: Cross multiply
    2,673.67x = 4,010.61 × 824.62
  4. Step 4: Simplify right side
    2,673.67x = 3,307,229.22
  5. Step 5: Solve for x
    x = 3,307,229.22/2,673.67
  6. Step 6: Final answer
    x = 1,236.96

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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.