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Finding the Fourth Proportional to 2,185.73, 3,279.47 and 799.16

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Solution

The fourth proportional to 2,185.73, 3,279.47 and 799.16 is: 1,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.73 : 3,279.47 = 799.16 : x
  2. Step 2: Convert to fraction form
    2,185.73/3,279.47 = 799.16/x
  3. Step 3: Cross multiply
    2,185.73x = 3,279.47 × 799.16
  4. Step 4: Simplify right side
    2,185.73x = 2,620,821.25
  5. Step 5: Solve for x
    x = 2,620,821.25/2,185.73
  6. Step 6: Final answer
    x = 1,199.06

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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.