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Finding the Fourth Proportional to 2,800.50, 4,201.25 and 951.81

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Solution

The fourth proportional to 2,800.50, 4,201.25 and 951.81 is: 1,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.50 : 4,201.25 = 951.81 : x
  2. Step 2: Convert to fraction form
    2,800.50/4,201.25 = 951.81/x
  3. Step 3: Cross multiply
    2,800.50x = 4,201.25 × 951.81
  4. Step 4: Simplify right side
    2,800.50x = 3,998,787.00
  5. Step 5: Solve for x
    x = 3,998,787.00/2,800.50
  6. Step 6: Final answer
    x = 1,427.88

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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.