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Finding the Fourth Proportional to 2,647.18, 3,971.40 and 798.31

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Solution

The fourth proportional to 2,647.18, 3,971.40 and 798.31 is: 1,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.18 : 3,971.40 = 798.31 : x
  2. Step 2: Convert to fraction form
    2,647.18/3,971.40 = 798.31/x
  3. Step 3: Cross multiply
    2,647.18x = 3,971.40 × 798.31
  4. Step 4: Simplify right side
    2,647.18x = 3,170,414.78
  5. Step 5: Solve for x
    x = 3,170,414.78/2,647.18
  6. Step 6: Final answer
    x = 1,197.66

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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.