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Finding the Fourth Proportional to 2,296.35, 3,441.79 and 1,599.24

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Solution

The fourth proportional to 2,296.35, 3,441.79 and 1,599.24 is: 2,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.35 : 3,441.79 = 1,599.24 : x
  2. Step 2: Convert to fraction form
    2,296.35/3,441.79 = 1,599.24/x
  3. Step 3: Cross multiply
    2,296.35x = 3,441.79 × 1,599.24
  4. Step 4: Simplify right side
    2,296.35x = 5,504,261.15
  5. Step 5: Solve for x
    x = 5,504,261.15/2,296.35
  6. Step 6: Final answer
    x = 2,396.96

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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.