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Finding the Fourth Proportional to 2,758.33, 4,137.77 and 908.69

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Solution

The fourth proportional to 2,758.33, 4,137.77 and 908.69 is: 1,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.33 : 4,137.77 = 908.69 : x
  2. Step 2: Convert to fraction form
    2,758.33/4,137.77 = 908.69/x
  3. Step 3: Cross multiply
    2,758.33x = 4,137.77 × 908.69
  4. Step 4: Simplify right side
    2,758.33x = 3,759,945.68
  5. Step 5: Solve for x
    x = 3,759,945.68/2,758.33
  6. Step 6: Final answer
    x = 1,363.12

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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.