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Finding the Fourth Proportional to 2,912.86, 4,360.92 and 2,185.48

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Solution

The fourth proportional to 2,912.86, 4,360.92 and 2,185.48 is: 3,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.86 : 4,360.92 = 2,185.48 : x
  2. Step 2: Convert to fraction form
    2,912.86/4,360.92 = 2,185.48/x
  3. Step 3: Cross multiply
    2,912.86x = 4,360.92 × 2,185.48
  4. Step 4: Simplify right side
    2,912.86x = 9,530,703.44
  5. Step 5: Solve for x
    x = 9,530,703.44/2,912.86
  6. Step 6: Final answer
    x = 3,271.94

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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.