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Finding the Fourth Proportional to 2,766.96, 4,150.86 and 918.54

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Solution

The fourth proportional to 2,766.96, 4,150.86 and 918.54 is: 1,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.96 : 4,150.86 = 918.54 : x
  2. Step 2: Convert to fraction form
    2,766.96/4,150.86 = 918.54/x
  3. Step 3: Cross multiply
    2,766.96x = 4,150.86 × 918.54
  4. Step 4: Simplify right side
    2,766.96x = 3,812,730.94
  5. Step 5: Solve for x
    x = 3,812,730.94/2,766.96
  6. Step 6: Final answer
    x = 1,377.95

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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.