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Finding the Fourth Proportional to 2,269, 3,131.22 and 1,384.66

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Solution

The fourth proportional to 2,269, 3,131.22 and 1,384.66 is: 1,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 3,131.22 = 1,384.66 : x
  2. Step 2: Convert to fraction form
    2,269/3,131.22 = 1,384.66/x
  3. Step 3: Cross multiply
    2,269x = 3,131.22 × 1,384.66
  4. Step 4: Simplify right side
    2,269x = 4,335,675.09
  5. Step 5: Solve for x
    x = 4,335,675.09/2,269
  6. Step 6: Final answer
    x = 1,910.83

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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.