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Finding the Fourth Proportional to 2,096.09, 3,144.06 and 709.41

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Solution

The fourth proportional to 2,096.09, 3,144.06 and 709.41 is: 1,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.09 : 3,144.06 = 709.41 : x
  2. Step 2: Convert to fraction form
    2,096.09/3,144.06 = 709.41/x
  3. Step 3: Cross multiply
    2,096.09x = 3,144.06 × 709.41
  4. Step 4: Simplify right side
    2,096.09x = 2,230,427.60
  5. Step 5: Solve for x
    x = 2,230,427.60/2,096.09
  6. Step 6: Final answer
    x = 1,064.09

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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.