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Finding the Fourth Proportional to 2,738.14, 4,107.81 and 790.19

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Solution

The fourth proportional to 2,738.14, 4,107.81 and 790.19 is: 1,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.14 : 4,107.81 = 790.19 : x
  2. Step 2: Convert to fraction form
    2,738.14/4,107.81 = 790.19/x
  3. Step 3: Cross multiply
    2,738.14x = 4,107.81 × 790.19
  4. Step 4: Simplify right side
    2,738.14x = 3,245,950.38
  5. Step 5: Solve for x
    x = 3,245,950.38/2,738.14
  6. Step 6: Final answer
    x = 1,185.46

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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.