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Finding the Fourth Proportional to 2,069.70, 3,105.90 and 1,096.53

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Solution

The fourth proportional to 2,069.70, 3,105.90 and 1,096.53 is: 1,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.70 : 3,105.90 = 1,096.53 : x
  2. Step 2: Convert to fraction form
    2,069.70/3,105.90 = 1,096.53/x
  3. Step 3: Cross multiply
    2,069.70x = 3,105.90 × 1,096.53
  4. Step 4: Simplify right side
    2,069.70x = 3,405,712.53
  5. Step 5: Solve for x
    x = 3,405,712.53/2,069.70
  6. Step 6: Final answer
    x = 1,645.51

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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.