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Finding the Fourth Proportional to 2,271.99, 3,408.03 and 1,496.94

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Solution

The fourth proportional to 2,271.99, 3,408.03 and 1,496.94 is: 2,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.99 : 3,408.03 = 1,496.94 : x
  2. Step 2: Convert to fraction form
    2,271.99/3,408.03 = 1,496.94/x
  3. Step 3: Cross multiply
    2,271.99x = 3,408.03 × 1,496.94
  4. Step 4: Simplify right side
    2,271.99x = 5,101,616.43
  5. Step 5: Solve for x
    x = 5,101,616.43/2,271.99
  6. Step 6: Final answer
    x = 2,245.44

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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.