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Finding the Fourth Proportional to 2,906.94, 4,360.03 and 1,153.24

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Solution

The fourth proportional to 2,906.94, 4,360.03 and 1,153.24 is: 1,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.94 : 4,360.03 = 1,153.24 : x
  2. Step 2: Convert to fraction form
    2,906.94/4,360.03 = 1,153.24/x
  3. Step 3: Cross multiply
    2,906.94x = 4,360.03 × 1,153.24
  4. Step 4: Simplify right side
    2,906.94x = 5,028,147.21
  5. Step 5: Solve for x
    x = 5,028,147.21/2,906.94
  6. Step 6: Final answer
    x = 1,729.71

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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.