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Finding the Fourth Proportional to 2,474.82, 3,695.27 and 2,109.42

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Solution

The fourth proportional to 2,474.82, 3,695.27 and 2,109.42 is: 3,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.82 : 3,695.27 = 2,109.42 : x
  2. Step 2: Convert to fraction form
    2,474.82/3,695.27 = 2,109.42/x
  3. Step 3: Cross multiply
    2,474.82x = 3,695.27 × 2,109.42
  4. Step 4: Simplify right side
    2,474.82x = 7,794,865.90
  5. Step 5: Solve for x
    x = 7,794,865.90/2,474.82
  6. Step 6: Final answer
    x = 3,149.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.