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Finding the Fourth Proportional to 2,976.69, 4,108.50 and 1,982.01

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Solution

The fourth proportional to 2,976.69, 4,108.50 and 1,982.01 is: 2,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.69 : 4,108.50 = 1,982.01 : x
  2. Step 2: Convert to fraction form
    2,976.69/4,108.50 = 1,982.01/x
  3. Step 3: Cross multiply
    2,976.69x = 4,108.50 × 1,982.01
  4. Step 4: Simplify right side
    2,976.69x = 8,143,088.09
  5. Step 5: Solve for x
    x = 8,143,088.09/2,976.69
  6. Step 6: Final answer
    x = 2,735.62

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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.