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Finding the Fourth Proportional to 2,183.07, 3,274.89 and 623.13

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Solution

The fourth proportional to 2,183.07, 3,274.89 and 623.13 is: 934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.07 : 3,274.89 = 623.13 : x
  2. Step 2: Convert to fraction form
    2,183.07/3,274.89 = 623.13/x
  3. Step 3: Cross multiply
    2,183.07x = 3,274.89 × 623.13
  4. Step 4: Simplify right side
    2,183.07x = 2,040,682.21
  5. Step 5: Solve for x
    x = 2,040,682.21/2,183.07
  6. Step 6: Final answer
    x = 934.78

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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.