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Finding the Fourth Proportional to 3,196.91, 4,794.32 and 1,116.45

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Solution

The fourth proportional to 3,196.91, 4,794.32 and 1,116.45 is: 1,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.91 : 4,794.32 = 1,116.45 : x
  2. Step 2: Convert to fraction form
    3,196.91/4,794.32 = 1,116.45/x
  3. Step 3: Cross multiply
    3,196.91x = 4,794.32 × 1,116.45
  4. Step 4: Simplify right side
    3,196.91x = 5,352,618.56
  5. Step 5: Solve for x
    x = 5,352,618.56/3,196.91
  6. Step 6: Final answer
    x = 1,674.31

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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.