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Finding the Fourth Proportional to 1,991.21, 2,739.89 and 1,675.31

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Solution

The fourth proportional to 1,991.21, 2,739.89 and 1,675.31 is: 2,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.21 : 2,739.89 = 1,675.31 : x
  2. Step 2: Convert to fraction form
    1,991.21/2,739.89 = 1,675.31/x
  3. Step 3: Cross multiply
    1,991.21x = 2,739.89 × 1,675.31
  4. Step 4: Simplify right side
    1,991.21x = 4,590,165.12
  5. Step 5: Solve for x
    x = 4,590,165.12/1,991.21
  6. Step 6: Final answer
    x = 2,305.21

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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.