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Finding the Fourth Proportional to 3,196.94, 4,795.11 and 1,116.56

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Solution

The fourth proportional to 3,196.94, 4,795.11 and 1,116.56 is: 1,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.94 : 4,795.11 = 1,116.56 : x
  2. Step 2: Convert to fraction form
    3,196.94/4,795.11 = 1,116.56/x
  3. Step 3: Cross multiply
    3,196.94x = 4,795.11 × 1,116.56
  4. Step 4: Simplify right side
    3,196.94x = 5,354,028.02
  5. Step 5: Solve for x
    x = 5,354,028.02/3,196.94
  6. Step 6: Final answer
    x = 1,674.73

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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.