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Finding the Fourth Proportional to 2,097.38, 3,146.06 and 798.85

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Solution

The fourth proportional to 2,097.38, 3,146.06 and 798.85 is: 1,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.38 : 3,146.06 = 798.85 : x
  2. Step 2: Convert to fraction form
    2,097.38/3,146.06 = 798.85/x
  3. Step 3: Cross multiply
    2,097.38x = 3,146.06 × 798.85
  4. Step 4: Simplify right side
    2,097.38x = 2,513,224.16
  5. Step 5: Solve for x
    x = 2,513,224.16/2,097.38
  6. Step 6: Final answer
    x = 1,198.27

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.