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Finding the Fourth Proportional to 2,584, 3,876 and 760

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Solution

The fourth proportional to 2,584, 3,876 and 760 is: 1,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,876 = 760 : x
  2. Step 2: Convert to fraction form
    2,584/3,876 = 760/x
  3. Step 3: Cross multiply
    2,584x = 3,876 × 760
  4. Step 4: Simplify right side
    2,584x = 2,945,760
  5. Step 5: Solve for x
    x = 2,945,760/2,584
  6. Step 6: Final answer
    x = 1,140

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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.