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Finding the Fourth Proportional to 2,797.86, 3,861.27 and 1,618.95

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Solution

The fourth proportional to 2,797.86, 3,861.27 and 1,618.95 is: 2,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.86 : 3,861.27 = 1,618.95 : x
  2. Step 2: Convert to fraction form
    2,797.86/3,861.27 = 1,618.95/x
  3. Step 3: Cross multiply
    2,797.86x = 3,861.27 × 1,618.95
  4. Step 4: Simplify right side
    2,797.86x = 6,251,203.07
  5. Step 5: Solve for x
    x = 6,251,203.07/2,797.86
  6. Step 6: Final answer
    x = 2,234.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.