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Finding the Fourth Proportional to 2,745.54, 4,114.67 and 2,378.61

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Solution

The fourth proportional to 2,745.54, 4,114.67 and 2,378.61 is: 3,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.54 : 4,114.67 = 2,378.61 : x
  2. Step 2: Convert to fraction form
    2,745.54/4,114.67 = 2,378.61/x
  3. Step 3: Cross multiply
    2,745.54x = 4,114.67 × 2,378.61
  4. Step 4: Simplify right side
    2,745.54x = 9,787,183.32
  5. Step 5: Solve for x
    x = 9,787,183.32/2,745.54
  6. Step 6: Final answer
    x = 3,564.76

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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.