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Finding the Fourth Proportional to 1,256, 1,884 and 344

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Solution

The fourth proportional to 1,256, 1,884 and 344 is: 516

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256 : 1,884 = 344 : x
  2. Step 2: Convert to fraction form
    1,256/1,884 = 344/x
  3. Step 3: Cross multiply
    1,256x = 1,884 × 344
  4. Step 4: Simplify right side
    1,256x = 648,096
  5. Step 5: Solve for x
    x = 648,096/1,256
  6. Step 6: Final answer
    x = 516

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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.