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Finding the Fourth Proportional to 2,096.93, 3,147.32 and 2,089.09

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Solution

The fourth proportional to 2,096.93, 3,147.32 and 2,089.09 is: 3,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.93 : 3,147.32 = 2,089.09 : x
  2. Step 2: Convert to fraction form
    2,096.93/3,147.32 = 2,089.09/x
  3. Step 3: Cross multiply
    2,096.93x = 3,147.32 × 2,089.09
  4. Step 4: Simplify right side
    2,096.93x = 6,575,008.56
  5. Step 5: Solve for x
    x = 6,575,008.56/2,096.93
  6. Step 6: Final answer
    x = 3,135.54

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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.