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Finding the Fourth Proportional to 2,135.87, 3,201.85 and 902.61

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Solution

The fourth proportional to 2,135.87, 3,201.85 and 902.61 is: 1,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.87 : 3,201.85 = 902.61 : x
  2. Step 2: Convert to fraction form
    2,135.87/3,201.85 = 902.61/x
  3. Step 3: Cross multiply
    2,135.87x = 3,201.85 × 902.61
  4. Step 4: Simplify right side
    2,135.87x = 2,890,022.96
  5. Step 5: Solve for x
    x = 2,890,022.96/2,135.87
  6. Step 6: Final answer
    x = 1,353.09

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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.