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Finding the Fourth Proportional to 2,271.88, 3,137.16 and 2,198.44

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Solution

The fourth proportional to 2,271.88, 3,137.16 and 2,198.44 is: 3,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.88 : 3,137.16 = 2,198.44 : x
  2. Step 2: Convert to fraction form
    2,271.88/3,137.16 = 2,198.44/x
  3. Step 3: Cross multiply
    2,271.88x = 3,137.16 × 2,198.44
  4. Step 4: Simplify right side
    2,271.88x = 6,896,858.03
  5. Step 5: Solve for x
    x = 6,896,858.03/2,271.88
  6. Step 6: Final answer
    x = 3,035.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.