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Finding the Fourth Proportional to 2,196.16, 3,293.41 and 635.65

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Solution

The fourth proportional to 2,196.16, 3,293.41 and 635.65 is: 953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.16 : 3,293.41 = 635.65 : x
  2. Step 2: Convert to fraction form
    2,196.16/3,293.41 = 635.65/x
  3. Step 3: Cross multiply
    2,196.16x = 3,293.41 × 635.65
  4. Step 4: Simplify right side
    2,196.16x = 2,093,447.44
  5. Step 5: Solve for x
    x = 2,093,447.44/2,196.16
  6. Step 6: Final answer
    x = 953.23

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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.