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Finding the Fourth Proportional to 2,968.20, 4,443.93 and 1,992.42

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Solution

The fourth proportional to 2,968.20, 4,443.93 and 1,992.42 is: 2,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.20 : 4,443.93 = 1,992.42 : x
  2. Step 2: Convert to fraction form
    2,968.20/4,443.93 = 1,992.42/x
  3. Step 3: Cross multiply
    2,968.20x = 4,443.93 × 1,992.42
  4. Step 4: Simplify right side
    2,968.20x = 8,854,175.01
  5. Step 5: Solve for x
    x = 8,854,175.01/2,968.20
  6. Step 6: Final answer
    x = 2,983.01

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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.