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Finding the Fourth Proportional to 2,942.04, 4,057.30 and 1,999.24

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Solution

The fourth proportional to 2,942.04, 4,057.30 and 1,999.24 is: 2,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.04 : 4,057.30 = 1,999.24 : x
  2. Step 2: Convert to fraction form
    2,942.04/4,057.30 = 1,999.24/x
  3. Step 3: Cross multiply
    2,942.04x = 4,057.30 × 1,999.24
  4. Step 4: Simplify right side
    2,942.04x = 8,111,516.45
  5. Step 5: Solve for x
    x = 8,111,516.45/2,942.04
  6. Step 6: Final answer
    x = 2,757.11

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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.