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Finding the Fourth Proportional to 2,097.86, 2,891.62 and 1,676.86

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Solution

The fourth proportional to 2,097.86, 2,891.62 and 1,676.86 is: 2,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.86 : 2,891.62 = 1,676.86 : x
  2. Step 2: Convert to fraction form
    2,097.86/2,891.62 = 1,676.86/x
  3. Step 3: Cross multiply
    2,097.86x = 2,891.62 × 1,676.86
  4. Step 4: Simplify right side
    2,097.86x = 4,848,841.91
  5. Step 5: Solve for x
    x = 4,848,841.91/2,097.86
  6. Step 6: Final answer
    x = 2,311.33

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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.