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Finding the Fourth Proportional to 1,183.23, 1,621.04 and 1,138.90

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Solution

The fourth proportional to 1,183.23, 1,621.04 and 1,138.90 is: 1,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.23 : 1,621.04 = 1,138.90 : x
  2. Step 2: Convert to fraction form
    1,183.23/1,621.04 = 1,138.90/x
  3. Step 3: Cross multiply
    1,183.23x = 1,621.04 × 1,138.90
  4. Step 4: Simplify right side
    1,183.23x = 1,846,196.76
  5. Step 5: Solve for x
    x = 1,846,196.76/1,183.23
  6. Step 6: Final answer
    x = 1,560.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.