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Finding the Fourth Proportional to 2,096.99, 3,144.57 and 1,056.34

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Solution

The fourth proportional to 2,096.99, 3,144.57 and 1,056.34 is: 1,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.99 : 3,144.57 = 1,056.34 : x
  2. Step 2: Convert to fraction form
    2,096.99/3,144.57 = 1,056.34/x
  3. Step 3: Cross multiply
    2,096.99x = 3,144.57 × 1,056.34
  4. Step 4: Simplify right side
    2,096.99x = 3,321,735.07
  5. Step 5: Solve for x
    x = 3,321,735.07/2,096.99
  6. Step 6: Final answer
    x = 1,584.05

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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.