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Finding the Fourth Proportional to 2,738.00, 4,107.69 and 790.21

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Solution

The fourth proportional to 2,738.00, 4,107.69 and 790.21 is: 1,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.00 : 4,107.69 = 790.21 : x
  2. Step 2: Convert to fraction form
    2,738.00/4,107.69 = 790.21/x
  3. Step 3: Cross multiply
    2,738.00x = 4,107.69 × 790.21
  4. Step 4: Simplify right side
    2,738.00x = 3,245,917.52
  5. Step 5: Solve for x
    x = 3,245,917.52/2,738.00
  6. Step 6: Final answer
    x = 1,185.51

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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.