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Finding the Fourth Proportional to 2,198.98, 3,282.80 and 2,122.10

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Solution

The fourth proportional to 2,198.98, 3,282.80 and 2,122.10 is: 3,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.98 : 3,282.80 = 2,122.10 : x
  2. Step 2: Convert to fraction form
    2,198.98/3,282.80 = 2,122.10/x
  3. Step 3: Cross multiply
    2,198.98x = 3,282.80 × 2,122.10
  4. Step 4: Simplify right side
    2,198.98x = 6,966,415.17
  5. Step 5: Solve for x
    x = 6,966,415.17/2,198.98
  6. Step 6: Final answer
    x = 3,168.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.