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Finding the Fourth Proportional to 2,942.33, 4,054.94 and 1,998.17

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Solution

The fourth proportional to 2,942.33, 4,054.94 and 1,998.17 is: 2,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.33 : 4,054.94 = 1,998.17 : x
  2. Step 2: Convert to fraction form
    2,942.33/4,054.94 = 1,998.17/x
  3. Step 3: Cross multiply
    2,942.33x = 4,054.94 × 1,998.17
  4. Step 4: Simplify right side
    2,942.33x = 8,102,444.18
  5. Step 5: Solve for x
    x = 8,102,444.18/2,942.33
  6. Step 6: Final answer
    x = 2,753.75

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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.