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Finding the Fourth Proportional to 2,912.50, 4,019.92 and 1,778.55

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Solution

The fourth proportional to 2,912.50, 4,019.92 and 1,778.55 is: 2,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.50 : 4,019.92 = 1,778.55 : x
  2. Step 2: Convert to fraction form
    2,912.50/4,019.92 = 1,778.55/x
  3. Step 3: Cross multiply
    2,912.50x = 4,019.92 × 1,778.55
  4. Step 4: Simplify right side
    2,912.50x = 7,149,639.34
  5. Step 5: Solve for x
    x = 7,149,639.34/2,912.50
  6. Step 6: Final answer
    x = 2,454.81

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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.