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Finding the Fourth Proportional to 1,396.94, 2,096.52 and 739.56

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Solution

The fourth proportional to 1,396.94, 2,096.52 and 739.56 is: 1,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.94 : 2,096.52 = 739.56 : x
  2. Step 2: Convert to fraction form
    1,396.94/2,096.52 = 739.56/x
  3. Step 3: Cross multiply
    1,396.94x = 2,096.52 × 739.56
  4. Step 4: Simplify right side
    1,396.94x = 1,550,502.33
  5. Step 5: Solve for x
    x = 1,550,502.33/1,396.94
  6. Step 6: Final answer
    x = 1,109.93

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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.