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Finding the Fourth Proportional to 2,236.85, 3,354.12 and 1,183.23

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Solution

The fourth proportional to 2,236.85, 3,354.12 and 1,183.23 is: 1,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.85 : 3,354.12 = 1,183.23 : x
  2. Step 2: Convert to fraction form
    2,236.85/3,354.12 = 1,183.23/x
  3. Step 3: Cross multiply
    2,236.85x = 3,354.12 × 1,183.23
  4. Step 4: Simplify right side
    2,236.85x = 3,968,695.41
  5. Step 5: Solve for x
    x = 3,968,695.41/2,236.85
  6. Step 6: Final answer
    x = 1,774.24

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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.