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Finding the Fourth Proportional to 2,021.70, 3,039.30 and 1,659.18

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Solution

The fourth proportional to 2,021.70, 3,039.30 and 1,659.18 is: 2,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.70 : 3,039.30 = 1,659.18 : x
  2. Step 2: Convert to fraction form
    2,021.70/3,039.30 = 1,659.18/x
  3. Step 3: Cross multiply
    2,021.70x = 3,039.30 × 1,659.18
  4. Step 4: Simplify right side
    2,021.70x = 5,042,745.77
  5. Step 5: Solve for x
    x = 5,042,745.77/2,021.70
  6. Step 6: Final answer
    x = 2,494.31

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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.