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Finding the Fourth Proportional to 2,174.27, 2,999.99 and 1,467.43

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Solution

The fourth proportional to 2,174.27, 2,999.99 and 1,467.43 is: 2,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.27 : 2,999.99 = 1,467.43 : x
  2. Step 2: Convert to fraction form
    2,174.27/2,999.99 = 1,467.43/x
  3. Step 3: Cross multiply
    2,174.27x = 2,999.99 × 1,467.43
  4. Step 4: Simplify right side
    2,174.27x = 4,402,260.33
  5. Step 5: Solve for x
    x = 4,402,260.33/2,174.27
  6. Step 6: Final answer
    x = 2,024.71

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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.