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Finding the Fourth Proportional to 2,003.74, 3,005.14 and 543

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Solution

The fourth proportional to 2,003.74, 3,005.14 and 543 is: 814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.74 : 3,005.14 = 543 : x
  2. Step 2: Convert to fraction form
    2,003.74/3,005.14 = 543/x
  3. Step 3: Cross multiply
    2,003.74x = 3,005.14 × 543
  4. Step 4: Simplify right side
    2,003.74x = 1,631,791.02
  5. Step 5: Solve for x
    x = 1,631,791.02/2,003.74
  6. Step 6: Final answer
    x = 814.37

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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.