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Finding the Fourth Proportional to 1,991.58, 2,982.50 and 1,340.34

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Solution

The fourth proportional to 1,991.58, 2,982.50 and 1,340.34 is: 2,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.58 : 2,982.50 = 1,340.34 : x
  2. Step 2: Convert to fraction form
    1,991.58/2,982.50 = 1,340.34/x
  3. Step 3: Cross multiply
    1,991.58x = 2,982.50 × 1,340.34
  4. Step 4: Simplify right side
    1,991.58x = 3,997,564.05
  5. Step 5: Solve for x
    x = 3,997,564.05/1,991.58
  6. Step 6: Final answer
    x = 2,007.23

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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.