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Finding the Fourth Proportional to 2,766.57, 4,145.53 and 1,738.41

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Solution

The fourth proportional to 2,766.57, 4,145.53 and 1,738.41 is: 2,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.57 : 4,145.53 = 1,738.41 : x
  2. Step 2: Convert to fraction form
    2,766.57/4,145.53 = 1,738.41/x
  3. Step 3: Cross multiply
    2,766.57x = 4,145.53 × 1,738.41
  4. Step 4: Simplify right side
    2,766.57x = 7,206,626.46
  5. Step 5: Solve for x
    x = 7,206,626.46/2,766.57
  6. Step 6: Final answer
    x = 2,604.90

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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.