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Finding the Fourth Proportional to 2,027.98, 3,041.97 and 873.73

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Solution

The fourth proportional to 2,027.98, 3,041.97 and 873.73 is: 1,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.98 : 3,041.97 = 873.73 : x
  2. Step 2: Convert to fraction form
    2,027.98/3,041.97 = 873.73/x
  3. Step 3: Cross multiply
    2,027.98x = 3,041.97 × 873.73
  4. Step 4: Simplify right side
    2,027.98x = 2,657,860.45
  5. Step 5: Solve for x
    x = 2,657,860.45/2,027.98
  6. Step 6: Final answer
    x = 1,310.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.