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Finding the Fourth Proportional to 3,196.69, 4,796.19 and 1,117.27

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Solution

The fourth proportional to 3,196.69, 4,796.19 and 1,117.27 is: 1,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.69 : 4,796.19 = 1,117.27 : x
  2. Step 2: Convert to fraction form
    3,196.69/4,796.19 = 1,117.27/x
  3. Step 3: Cross multiply
    3,196.69x = 4,796.19 × 1,117.27
  4. Step 4: Simplify right side
    3,196.69x = 5,358,628.56
  5. Step 5: Solve for x
    x = 5,358,628.56/3,196.69
  6. Step 6: Final answer
    x = 1,676.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.