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Finding the Fourth Proportional to 2,512, 3,768 and 1,144

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Solution

The fourth proportional to 2,512, 3,768 and 1,144 is: 1,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512 : 3,768 = 1,144 : x
  2. Step 2: Convert to fraction form
    2,512/3,768 = 1,144/x
  3. Step 3: Cross multiply
    2,512x = 3,768 × 1,144
  4. Step 4: Simplify right side
    2,512x = 4,310,592
  5. Step 5: Solve for x
    x = 4,310,592/2,512
  6. Step 6: Final answer
    x = 1,716

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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.