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Finding the Fourth Proportional to 2,093.36, 3,140.73 and 1,119.24

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Solution

The fourth proportional to 2,093.36, 3,140.73 and 1,119.24 is: 1,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.36 : 3,140.73 = 1,119.24 : x
  2. Step 2: Convert to fraction form
    2,093.36/3,140.73 = 1,119.24/x
  3. Step 3: Cross multiply
    2,093.36x = 3,140.73 × 1,119.24
  4. Step 4: Simplify right side
    2,093.36x = 3,515,230.65
  5. Step 5: Solve for x
    x = 3,515,230.65/2,093.36
  6. Step 6: Final answer
    x = 1,679.23

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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.