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Finding the Fourth Proportional to 3,192.74, 4,790.92 and 1,732.90

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Solution

The fourth proportional to 3,192.74, 4,790.92 and 1,732.90 is: 2,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.74 : 4,790.92 = 1,732.90 : x
  2. Step 2: Convert to fraction form
    3,192.74/4,790.92 = 1,732.90/x
  3. Step 3: Cross multiply
    3,192.74x = 4,790.92 × 1,732.90
  4. Step 4: Simplify right side
    3,192.74x = 8,302,185.27
  5. Step 5: Solve for x
    x = 8,302,185.27/3,192.74
  6. Step 6: Final answer
    x = 2,600.33

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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.