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Finding the Fourth Proportional to 3,192.54, 4,405.95 and 1,933.62

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Solution

The fourth proportional to 3,192.54, 4,405.95 and 1,933.62 is: 2,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.54 : 4,405.95 = 1,933.62 : x
  2. Step 2: Convert to fraction form
    3,192.54/4,405.95 = 1,933.62/x
  3. Step 3: Cross multiply
    3,192.54x = 4,405.95 × 1,933.62
  4. Step 4: Simplify right side
    3,192.54x = 8,519,433.04
  5. Step 5: Solve for x
    x = 8,519,433.04/3,192.54
  6. Step 6: Final answer
    x = 2,668.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.