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Finding the Fourth Proportional to 2,682.87, 4,023.69 and 735.23

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Solution

The fourth proportional to 2,682.87, 4,023.69 and 735.23 is: 1,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.87 : 4,023.69 = 735.23 : x
  2. Step 2: Convert to fraction form
    2,682.87/4,023.69 = 735.23/x
  3. Step 3: Cross multiply
    2,682.87x = 4,023.69 × 735.23
  4. Step 4: Simplify right side
    2,682.87x = 2,958,317.48
  5. Step 5: Solve for x
    x = 2,958,317.48/2,682.87
  6. Step 6: Final answer
    x = 1,102.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.