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Finding the Fourth Proportional to 2,749.59, 3,796.20 and 1,954.67

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Solution

The fourth proportional to 2,749.59, 3,796.20 and 1,954.67 is: 2,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.59 : 3,796.20 = 1,954.67 : x
  2. Step 2: Convert to fraction form
    2,749.59/3,796.20 = 1,954.67/x
  3. Step 3: Cross multiply
    2,749.59x = 3,796.20 × 1,954.67
  4. Step 4: Simplify right side
    2,749.59x = 7,420,299.27
  5. Step 5: Solve for x
    x = 7,420,299.27/2,749.59
  6. Step 6: Final answer
    x = 2,698.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.