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Finding the Fourth Proportional to 2,251.14, 3,373.83 and 950.82

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Solution

The fourth proportional to 2,251.14, 3,373.83 and 950.82 is: 1,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.14 : 3,373.83 = 950.82 : x
  2. Step 2: Convert to fraction form
    2,251.14/3,373.83 = 950.82/x
  3. Step 3: Cross multiply
    2,251.14x = 3,373.83 × 950.82
  4. Step 4: Simplify right side
    2,251.14x = 3,207,905.04
  5. Step 5: Solve for x
    x = 3,207,905.04/2,251.14
  6. Step 6: Final answer
    x = 1,425.01

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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.