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Finding the Fourth Proportional to 2,197.32, 3,295.66 and 829

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Solution

The fourth proportional to 2,197.32, 3,295.66 and 829 is: 1,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.32 : 3,295.66 = 829 : x
  2. Step 2: Convert to fraction form
    2,197.32/3,295.66 = 829/x
  3. Step 3: Cross multiply
    2,197.32x = 3,295.66 × 829
  4. Step 4: Simplify right side
    2,197.32x = 2,732,102.14
  5. Step 5: Solve for x
    x = 2,732,102.14/2,197.32
  6. Step 6: Final answer
    x = 1,243.38

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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.