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Finding the Fourth Proportional to 3,192.85, 4,790 and 1,461.97

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Solution

The fourth proportional to 3,192.85, 4,790 and 1,461.97 is: 2,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.85 : 4,790 = 1,461.97 : x
  2. Step 2: Convert to fraction form
    3,192.85/4,790 = 1,461.97/x
  3. Step 3: Cross multiply
    3,192.85x = 4,790 × 1,461.97
  4. Step 4: Simplify right side
    3,192.85x = 7,002,836.30
  5. Step 5: Solve for x
    x = 7,002,836.30/3,192.85
  6. Step 6: Final answer
    x = 2,193.29

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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.