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Finding the Fourth Proportional to 2,968.93, 4,097.01 and 1,920.97

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Solution

The fourth proportional to 2,968.93, 4,097.01 and 1,920.97 is: 2,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.93 : 4,097.01 = 1,920.97 : x
  2. Step 2: Convert to fraction form
    2,968.93/4,097.01 = 1,920.97/x
  3. Step 3: Cross multiply
    2,968.93x = 4,097.01 × 1,920.97
  4. Step 4: Simplify right side
    2,968.93x = 7,870,233.30
  5. Step 5: Solve for x
    x = 7,870,233.30/2,968.93
  6. Step 6: Final answer
    x = 2,650.87

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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.