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Finding the Fourth Proportional to 2,271.98, 3,408.11 and 884.85

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Solution

The fourth proportional to 2,271.98, 3,408.11 and 884.85 is: 1,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.98 : 3,408.11 = 884.85 : x
  2. Step 2: Convert to fraction form
    2,271.98/3,408.11 = 884.85/x
  3. Step 3: Cross multiply
    2,271.98x = 3,408.11 × 884.85
  4. Step 4: Simplify right side
    2,271.98x = 3,015,661.71
  5. Step 5: Solve for x
    x = 3,015,661.71/2,271.98
  6. Step 6: Final answer
    x = 1,327.33

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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.