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Finding the Fourth Proportional to 2,183.63, 3,274.86 and 950.74

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Solution

The fourth proportional to 2,183.63, 3,274.86 and 950.74 is: 1,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.63 : 3,274.86 = 950.74 : x
  2. Step 2: Convert to fraction form
    2,183.63/3,274.86 = 950.74/x
  3. Step 3: Cross multiply
    2,183.63x = 3,274.86 × 950.74
  4. Step 4: Simplify right side
    2,183.63x = 3,113,540.40
  5. Step 5: Solve for x
    x = 3,113,540.40/2,183.63
  6. Step 6: Final answer
    x = 1,425.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.