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Finding the Fourth Proportional to 2,003.82, 3,005.35 and 542.78

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Solution

The fourth proportional to 2,003.82, 3,005.35 and 542.78 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.82 : 3,005.35 = 542.78 : x
  2. Step 2: Convert to fraction form
    2,003.82/3,005.35 = 542.78/x
  3. Step 3: Cross multiply
    2,003.82x = 3,005.35 × 542.78
  4. Step 4: Simplify right side
    2,003.82x = 1,631,226.13
  5. Step 5: Solve for x
    x = 1,631,226.13/2,003.82
  6. Step 6: Final answer
    x = 814.06

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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.