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Finding the Fourth Proportional to 1,902.69, 2,850.96 and 1,439.83

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Solution

The fourth proportional to 1,902.69, 2,850.96 and 1,439.83 is: 2,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.69 : 2,850.96 = 1,439.83 : x
  2. Step 2: Convert to fraction form
    1,902.69/2,850.96 = 1,439.83/x
  3. Step 3: Cross multiply
    1,902.69x = 2,850.96 × 1,439.83
  4. Step 4: Simplify right side
    1,902.69x = 4,104,902.63
  5. Step 5: Solve for x
    x = 4,104,902.63/1,902.69
  6. Step 6: Final answer
    x = 2,157.42

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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.