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Finding the Fourth Proportional to 2,193, 3,289.16 and 731.98

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Solution

The fourth proportional to 2,193, 3,289.16 and 731.98 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193 : 3,289.16 = 731.98 : x
  2. Step 2: Convert to fraction form
    2,193/3,289.16 = 731.98/x
  3. Step 3: Cross multiply
    2,193x = 3,289.16 × 731.98
  4. Step 4: Simplify right side
    2,193x = 2,407,599.34
  5. Step 5: Solve for x
    x = 2,407,599.34/2,193
  6. Step 6: Final answer
    x = 1,097.86

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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.