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Finding the Fourth Proportional to 2,890.43, 3,988.64 and 1,614.22

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Solution

The fourth proportional to 2,890.43, 3,988.64 and 1,614.22 is: 2,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.43 : 3,988.64 = 1,614.22 : x
  2. Step 2: Convert to fraction form
    2,890.43/3,988.64 = 1,614.22/x
  3. Step 3: Cross multiply
    2,890.43x = 3,988.64 × 1,614.22
  4. Step 4: Simplify right side
    2,890.43x = 6,438,542.46
  5. Step 5: Solve for x
    x = 6,438,542.46/2,890.43
  6. Step 6: Final answer
    x = 2,227.54

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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.