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Finding the Fourth Proportional to 1,900.05, 2,847.79 and 860.31

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Solution

The fourth proportional to 1,900.05, 2,847.79 and 860.31 is: 1,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.05 : 2,847.79 = 860.31 : x
  2. Step 2: Convert to fraction form
    1,900.05/2,847.79 = 860.31/x
  3. Step 3: Cross multiply
    1,900.05x = 2,847.79 × 860.31
  4. Step 4: Simplify right side
    1,900.05x = 2,449,982.21
  5. Step 5: Solve for x
    x = 2,449,982.21/1,900.05
  6. Step 6: Final answer
    x = 1,289.43

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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.