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Finding the Fourth Proportional to 2,647.89, 3,972.35 and 799.15

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Solution

The fourth proportional to 2,647.89, 3,972.35 and 799.15 is: 1,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.89 : 3,972.35 = 799.15 : x
  2. Step 2: Convert to fraction form
    2,647.89/3,972.35 = 799.15/x
  3. Step 3: Cross multiply
    2,647.89x = 3,972.35 × 799.15
  4. Step 4: Simplify right side
    2,647.89x = 3,174,499.51
  5. Step 5: Solve for x
    x = 3,174,499.51/2,647.89
  6. Step 6: Final answer
    x = 1,198.88

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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.