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Finding the Fourth Proportional to 2,183.44, 3,275.16 and 623.44

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Solution

The fourth proportional to 2,183.44, 3,275.16 and 623.44 is: 935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.44 : 3,275.16 = 623.44 : x
  2. Step 2: Convert to fraction form
    2,183.44/3,275.16 = 623.44/x
  3. Step 3: Cross multiply
    2,183.44x = 3,275.16 × 623.44
  4. Step 4: Simplify right side
    2,183.44x = 2,041,865.75
  5. Step 5: Solve for x
    x = 2,041,865.75/2,183.44
  6. Step 6: Final answer
    x = 935.16

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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.