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Finding the Fourth Proportional to 1,843.92, 2,544.75 and 1,097.73

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Solution

The fourth proportional to 1,843.92, 2,544.75 and 1,097.73 is: 1,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.92 : 2,544.75 = 1,097.73 : x
  2. Step 2: Convert to fraction form
    1,843.92/2,544.75 = 1,097.73/x
  3. Step 3: Cross multiply
    1,843.92x = 2,544.75 × 1,097.73
  4. Step 4: Simplify right side
    1,843.92x = 2,793,448.42
  5. Step 5: Solve for x
    x = 2,793,448.42/1,843.92
  6. Step 6: Final answer
    x = 1,514.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.