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Finding the Fourth Proportional to 1,796.72, 2,694 and 1,148.24

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Solution

The fourth proportional to 1,796.72, 2,694 and 1,148.24 is: 1,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.72 : 2,694 = 1,148.24 : x
  2. Step 2: Convert to fraction form
    1,796.72/2,694 = 1,148.24/x
  3. Step 3: Cross multiply
    1,796.72x = 2,694 × 1,148.24
  4. Step 4: Simplify right side
    1,796.72x = 3,093,358.56
  5. Step 5: Solve for x
    x = 3,093,358.56/1,796.72
  6. Step 6: Final answer
    x = 1,721.67

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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.