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Finding the Fourth Proportional to 2,115.17, 3,172.25 and 799.06

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Solution

The fourth proportional to 2,115.17, 3,172.25 and 799.06 is: 1,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.17 : 3,172.25 = 799.06 : x
  2. Step 2: Convert to fraction form
    2,115.17/3,172.25 = 799.06/x
  3. Step 3: Cross multiply
    2,115.17x = 3,172.25 × 799.06
  4. Step 4: Simplify right side
    2,115.17x = 2,534,798.23
  5. Step 5: Solve for x
    x = 2,534,798.23/2,115.17
  6. Step 6: Final answer
    x = 1,198.39

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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.