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Finding the Fourth Proportional to 2,303.53, 3,183.11 and 2,189.73

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Solution

The fourth proportional to 2,303.53, 3,183.11 and 2,189.73 is: 3,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.53 : 3,183.11 = 2,189.73 : x
  2. Step 2: Convert to fraction form
    2,303.53/3,183.11 = 2,189.73/x
  3. Step 3: Cross multiply
    2,303.53x = 3,183.11 × 2,189.73
  4. Step 4: Simplify right side
    2,303.53x = 6,970,163.74
  5. Step 5: Solve for x
    x = 6,970,163.74/2,303.53
  6. Step 6: Final answer
    x = 3,025.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.