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Finding the Fourth Proportional to 3,169.81, 4,753.49 and 2,192.95

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Solution

The fourth proportional to 3,169.81, 4,753.49 and 2,192.95 is: 3,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.81 : 4,753.49 = 2,192.95 : x
  2. Step 2: Convert to fraction form
    3,169.81/4,753.49 = 2,192.95/x
  3. Step 3: Cross multiply
    3,169.81x = 4,753.49 × 2,192.95
  4. Step 4: Simplify right side
    3,169.81x = 10,424,142.13
  5. Step 5: Solve for x
    x = 10,424,142.13/3,169.81
  6. Step 6: Final answer
    x = 3,288.58

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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.