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Finding the Fourth Proportional to 2,647.97, 3,972.50 and 799.26

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Solution

The fourth proportional to 2,647.97, 3,972.50 and 799.26 is: 1,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.97 : 3,972.50 = 799.26 : x
  2. Step 2: Convert to fraction form
    2,647.97/3,972.50 = 799.26/x
  3. Step 3: Cross multiply
    2,647.97x = 3,972.50 × 799.26
  4. Step 4: Simplify right side
    2,647.97x = 3,175,060.35
  5. Step 5: Solve for x
    x = 3,175,060.35/2,647.97
  6. Step 6: Final answer
    x = 1,199.05

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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.