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Finding the Fourth Proportional to 1,999.71, 2,999.66 and 1,449.27

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Solution

The fourth proportional to 1,999.71, 2,999.66 and 1,449.27 is: 2,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.71 : 2,999.66 = 1,449.27 : x
  2. Step 2: Convert to fraction form
    1,999.71/2,999.66 = 1,449.27/x
  3. Step 3: Cross multiply
    1,999.71x = 2,999.66 × 1,449.27
  4. Step 4: Simplify right side
    1,999.71x = 4,347,317.25
  5. Step 5: Solve for x
    x = 4,347,317.25/1,999.71
  6. Step 6: Final answer
    x = 2,173.97

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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.