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Finding the Fourth Proportional to 2,288, 3,431.84 and 1,192.98

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Solution

The fourth proportional to 2,288, 3,431.84 and 1,192.98 is: 1,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288 : 3,431.84 = 1,192.98 : x
  2. Step 2: Convert to fraction form
    2,288/3,431.84 = 1,192.98/x
  3. Step 3: Cross multiply
    2,288x = 3,431.84 × 1,192.98
  4. Step 4: Simplify right side
    2,288x = 4,094,116.48
  5. Step 5: Solve for x
    x = 4,094,116.48/2,288
  6. Step 6: Final answer
    x = 1,789.39

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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.