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Finding the Fourth Proportional to 2,967.03, 4,097.87 and 2,021.19

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Solution

The fourth proportional to 2,967.03, 4,097.87 and 2,021.19 is: 2,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.03 : 4,097.87 = 2,021.19 : x
  2. Step 2: Convert to fraction form
    2,967.03/4,097.87 = 2,021.19/x
  3. Step 3: Cross multiply
    2,967.03x = 4,097.87 × 2,021.19
  4. Step 4: Simplify right side
    2,967.03x = 8,282,553.38
  5. Step 5: Solve for x
    x = 8,282,553.38/2,967.03
  6. Step 6: Final answer
    x = 2,791.53

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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.