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Finding the Fourth Proportional to 2,003.94, 3,005.46 and 542.97

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Solution

The fourth proportional to 2,003.94, 3,005.46 and 542.97 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 3,005.46 = 542.97 : x
  2. Step 2: Convert to fraction form
    2,003.94/3,005.46 = 542.97/x
  3. Step 3: Cross multiply
    2,003.94x = 3,005.46 × 542.97
  4. Step 4: Simplify right side
    2,003.94x = 1,631,874.62
  5. Step 5: Solve for x
    x = 1,631,874.62/2,003.94
  6. Step 6: Final answer
    x = 814.33

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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.