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Finding the Fourth Proportional to 2,889.45, 4,327.70 and 2,238.21

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Solution

The fourth proportional to 2,889.45, 4,327.70 and 2,238.21 is: 3,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.45 : 4,327.70 = 2,238.21 : x
  2. Step 2: Convert to fraction form
    2,889.45/4,327.70 = 2,238.21/x
  3. Step 3: Cross multiply
    2,889.45x = 4,327.70 × 2,238.21
  4. Step 4: Simplify right side
    2,889.45x = 9,686,290.23
  5. Step 5: Solve for x
    x = 9,686,290.23/2,889.45
  6. Step 6: Final answer
    x = 3,352.30

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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.