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Finding the Fourth Proportional to 2,522.43, 3,783.34 and 673.67

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Solution

The fourth proportional to 2,522.43, 3,783.34 and 673.67 is: 1,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.43 : 3,783.34 = 673.67 : x
  2. Step 2: Convert to fraction form
    2,522.43/3,783.34 = 673.67/x
  3. Step 3: Cross multiply
    2,522.43x = 3,783.34 × 673.67
  4. Step 4: Simplify right side
    2,522.43x = 2,548,730.43
  5. Step 5: Solve for x
    x = 2,548,730.43/2,522.43
  6. Step 6: Final answer
    x = 1,010.43

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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.