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Finding the Fourth Proportional to 2,841.54, 3,920.24 and 2,097.27

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Solution

The fourth proportional to 2,841.54, 3,920.24 and 2,097.27 is: 2,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.54 : 3,920.24 = 2,097.27 : x
  2. Step 2: Convert to fraction form
    2,841.54/3,920.24 = 2,097.27/x
  3. Step 3: Cross multiply
    2,841.54x = 3,920.24 × 2,097.27
  4. Step 4: Simplify right side
    2,841.54x = 8,221,791.26
  5. Step 5: Solve for x
    x = 8,221,791.26/2,841.54
  6. Step 6: Final answer
    x = 2,893.43

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1.5x scale

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.