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Finding the Fourth Proportional to 3,196.26, 4,795.50 and 1,441.08

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Solution

The fourth proportional to 3,196.26, 4,795.50 and 1,441.08 is: 2,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.26 : 4,795.50 = 1,441.08 : x
  2. Step 2: Convert to fraction form
    3,196.26/4,795.50 = 1,441.08/x
  3. Step 3: Cross multiply
    3,196.26x = 4,795.50 × 1,441.08
  4. Step 4: Simplify right side
    3,196.26x = 6,910,699.14
  5. Step 5: Solve for x
    x = 6,910,699.14/3,196.26
  6. Step 6: Final answer
    x = 2,162.12

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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.