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Finding the Fourth Proportional to 2,847.81, 3,930.29 and 1,589.31

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Solution

The fourth proportional to 2,847.81, 3,930.29 and 1,589.31 is: 2,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.81 : 3,930.29 = 1,589.31 : x
  2. Step 2: Convert to fraction form
    2,847.81/3,930.29 = 1,589.31/x
  3. Step 3: Cross multiply
    2,847.81x = 3,930.29 × 1,589.31
  4. Step 4: Simplify right side
    2,847.81x = 6,246,429.49
  5. Step 5: Solve for x
    x = 6,246,429.49/2,847.81
  6. Step 6: Final answer
    x = 2,193.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.