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Finding the Fourth Proportional to 2,546, 3,819 and 722

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Solution

The fourth proportional to 2,546, 3,819 and 722 is: 1,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 3,819 = 722 : x
  2. Step 2: Convert to fraction form
    2,546/3,819 = 722/x
  3. Step 3: Cross multiply
    2,546x = 3,819 × 722
  4. Step 4: Simplify right side
    2,546x = 2,757,318
  5. Step 5: Solve for x
    x = 2,757,318/2,546
  6. Step 6: Final answer
    x = 1,083

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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.