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Finding the Fourth Proportional to 2,698, 4,042.79 and 2,111.56

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Solution

The fourth proportional to 2,698, 4,042.79 and 2,111.56 is: 3,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698 : 4,042.79 = 2,111.56 : x
  2. Step 2: Convert to fraction form
    2,698/4,042.79 = 2,111.56/x
  3. Step 3: Cross multiply
    2,698x = 4,042.79 × 2,111.56
  4. Step 4: Simplify right side
    2,698x = 8,536,593.65
  5. Step 5: Solve for x
    x = 8,536,593.65/2,698
  6. Step 6: Final answer
    x = 3,164.05

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