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Finding the Fourth Proportional to 1,614.38, 2,420.33 and 518.09

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Solution

The fourth proportional to 1,614.38, 2,420.33 and 518.09 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.38 : 2,420.33 = 518.09 : x
  2. Step 2: Convert to fraction form
    1,614.38/2,420.33 = 518.09/x
  3. Step 3: Cross multiply
    1,614.38x = 2,420.33 × 518.09
  4. Step 4: Simplify right side
    1,614.38x = 1,253,934.08
  5. Step 5: Solve for x
    x = 1,253,934.08/1,614.38
  6. Step 6: Final answer
    x = 776.73

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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.