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Finding the Fourth Proportional to 2,648.67, 3,971.71 and 799.44

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Solution

The fourth proportional to 2,648.67, 3,971.71 and 799.44 is: 1,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.67 : 3,971.71 = 799.44 : x
  2. Step 2: Convert to fraction form
    2,648.67/3,971.71 = 799.44/x
  3. Step 3: Cross multiply
    2,648.67x = 3,971.71 × 799.44
  4. Step 4: Simplify right side
    2,648.67x = 3,175,143.84
  5. Step 5: Solve for x
    x = 3,175,143.84/2,648.67
  6. Step 6: Final answer
    x = 1,198.77

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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.