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Finding the Fourth Proportional to 2,096.22, 3,144.63 and 709.29

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Solution

The fourth proportional to 2,096.22, 3,144.63 and 709.29 is: 1,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.22 : 3,144.63 = 709.29 : x
  2. Step 2: Convert to fraction form
    2,096.22/3,144.63 = 709.29/x
  3. Step 3: Cross multiply
    2,096.22x = 3,144.63 × 709.29
  4. Step 4: Simplify right side
    2,096.22x = 2,230,454.61
  5. Step 5: Solve for x
    x = 2,230,454.61/2,096.22
  6. Step 6: Final answer
    x = 1,064.04

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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.