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Finding the Fourth Proportional to 2,003.78, 3,005.26 and 542.60

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Solution

The fourth proportional to 2,003.78, 3,005.26 and 542.60 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.78 : 3,005.26 = 542.60 : x
  2. Step 2: Convert to fraction form
    2,003.78/3,005.26 = 542.60/x
  3. Step 3: Cross multiply
    2,003.78x = 3,005.26 × 542.60
  4. Step 4: Simplify right side
    2,003.78x = 1,630,654.08
  5. Step 5: Solve for x
    x = 1,630,654.08/2,003.78
  6. Step 6: Final answer
    x = 813.79

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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.