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Finding the Fourth Proportional to 2,890.89, 4,331.43 and 2,064.96

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Solution

The fourth proportional to 2,890.89, 4,331.43 and 2,064.96 is: 3,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.89 : 4,331.43 = 2,064.96 : x
  2. Step 2: Convert to fraction form
    2,890.89/4,331.43 = 2,064.96/x
  3. Step 3: Cross multiply
    2,890.89x = 4,331.43 × 2,064.96
  4. Step 4: Simplify right side
    2,890.89x = 8,944,229.69
  5. Step 5: Solve for x
    x = 8,944,229.69/2,890.89
  6. Step 6: Final answer
    x = 3,093.94

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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.