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Finding the Fourth Proportional to 3,194.67, 4,790.39 and 1,461.81

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Solution

The fourth proportional to 3,194.67, 4,790.39 and 1,461.81 is: 2,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.67 : 4,790.39 = 1,461.81 : x
  2. Step 2: Convert to fraction form
    3,194.67/4,790.39 = 1,461.81/x
  3. Step 3: Cross multiply
    3,194.67x = 4,790.39 × 1,461.81
  4. Step 4: Simplify right side
    3,194.67x = 7,002,640.01
  5. Step 5: Solve for x
    x = 7,002,640.01/3,194.67
  6. Step 6: Final answer
    x = 2,191.98

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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.