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Finding the Fourth Proportional to 2,196.69, 3,295.04 and 553.22

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Solution

The fourth proportional to 2,196.69, 3,295.04 and 553.22 is: 829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.69 : 3,295.04 = 553.22 : x
  2. Step 2: Convert to fraction form
    2,196.69/3,295.04 = 553.22/x
  3. Step 3: Cross multiply
    2,196.69x = 3,295.04 × 553.22
  4. Step 4: Simplify right side
    2,196.69x = 1,822,879.26
  5. Step 5: Solve for x
    x = 1,822,879.26/2,196.69
  6. Step 6: Final answer
    x = 829.83

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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.