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Finding the Fourth Proportional to 2,097.08, 3,145.08 and 798.92

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Solution

The fourth proportional to 2,097.08, 3,145.08 and 798.92 is: 1,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.08 : 3,145.08 = 798.92 : x
  2. Step 2: Convert to fraction form
    2,097.08/3,145.08 = 798.92/x
  3. Step 3: Cross multiply
    2,097.08x = 3,145.08 × 798.92
  4. Step 4: Simplify right side
    2,097.08x = 2,512,667.31
  5. Step 5: Solve for x
    x = 2,512,667.31/2,097.08
  6. Step 6: Final answer
    x = 1,198.17

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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.