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Finding the Fourth Proportional to 2,890.61, 3,988.99 and 1,614.47

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Solution

The fourth proportional to 2,890.61, 3,988.99 and 1,614.47 is: 2,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.61 : 3,988.99 = 1,614.47 : x
  2. Step 2: Convert to fraction form
    2,890.61/3,988.99 = 1,614.47/x
  3. Step 3: Cross multiply
    2,890.61x = 3,988.99 × 1,614.47
  4. Step 4: Simplify right side
    2,890.61x = 6,440,104.69
  5. Step 5: Solve for x
    x = 6,440,104.69/2,890.61
  6. Step 6: Final answer
    x = 2,227.94

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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.