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Finding the Fourth Proportional to 2,581.86, 3,876.03 and 1,896.60

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Solution

The fourth proportional to 2,581.86, 3,876.03 and 1,896.60 is: 2,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.86 : 3,876.03 = 1,896.60 : x
  2. Step 2: Convert to fraction form
    2,581.86/3,876.03 = 1,896.60/x
  3. Step 3: Cross multiply
    2,581.86x = 3,876.03 × 1,896.60
  4. Step 4: Simplify right side
    2,581.86x = 7,351,278.50
  5. Step 5: Solve for x
    x = 7,351,278.50/2,581.86
  6. Step 6: Final answer
    x = 2,847.28

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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.