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Finding the Fourth Proportional to 2,798.94, 4,202.04 and 2,150.12

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Solution

The fourth proportional to 2,798.94, 4,202.04 and 2,150.12 is: 3,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.94 : 4,202.04 = 2,150.12 : x
  2. Step 2: Convert to fraction form
    2,798.94/4,202.04 = 2,150.12/x
  3. Step 3: Cross multiply
    2,798.94x = 4,202.04 × 2,150.12
  4. Step 4: Simplify right side
    2,798.94x = 9,034,890.24
  5. Step 5: Solve for x
    x = 9,034,890.24/2,798.94
  6. Step 6: Final answer
    x = 3,227.97

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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.