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Finding the Fourth Proportional to 3,105.84, 4,652 and 1,945.92

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Solution

The fourth proportional to 3,105.84, 4,652 and 1,945.92 is: 2,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.84 : 4,652 = 1,945.92 : x
  2. Step 2: Convert to fraction form
    3,105.84/4,652 = 1,945.92/x
  3. Step 3: Cross multiply
    3,105.84x = 4,652 × 1,945.92
  4. Step 4: Simplify right side
    3,105.84x = 9,052,419.84
  5. Step 5: Solve for x
    x = 9,052,419.84/3,105.84
  6. Step 6: Final answer
    x = 2,914.64

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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.