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Finding the Fourth Proportional to 3,196.67, 4,796.22 and 1,116.93

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Solution

The fourth proportional to 3,196.67, 4,796.22 and 1,116.93 is: 1,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.67 : 4,796.22 = 1,116.93 : x
  2. Step 2: Convert to fraction form
    3,196.67/4,796.22 = 1,116.93/x
  3. Step 3: Cross multiply
    3,196.67x = 4,796.22 × 1,116.93
  4. Step 4: Simplify right side
    3,196.67x = 5,357,042.00
  5. Step 5: Solve for x
    x = 5,357,042.00/3,196.67
  6. Step 6: Final answer
    x = 1,675.82

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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.