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Finding the Fourth Proportional to 2,223.96, 3,334.47 and 1,183.31

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Solution

The fourth proportional to 2,223.96, 3,334.47 and 1,183.31 is: 1,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.96 : 3,334.47 = 1,183.31 : x
  2. Step 2: Convert to fraction form
    2,223.96/3,334.47 = 1,183.31/x
  3. Step 3: Cross multiply
    2,223.96x = 3,334.47 × 1,183.31
  4. Step 4: Simplify right side
    2,223.96x = 3,945,703.09
  5. Step 5: Solve for x
    x = 3,945,703.09/2,223.96
  6. Step 6: Final answer
    x = 1,774.18

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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.