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Finding the Fourth Proportional to 2,553, 3,523.14 and 1,449

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Solution

The fourth proportional to 2,553, 3,523.14 and 1,449 is: 1,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553 : 3,523.14 = 1,449 : x
  2. Step 2: Convert to fraction form
    2,553/3,523.14 = 1,449/x
  3. Step 3: Cross multiply
    2,553x = 3,523.14 × 1,449
  4. Step 4: Simplify right side
    2,553x = 5,105,029.86
  5. Step 5: Solve for x
    x = 5,105,029.86/2,553
  6. Step 6: Final answer
    x = 1,999.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.