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Finding the Fourth Proportional to 1,982.93, 2,739.15 and 1,546.56

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Solution

The fourth proportional to 1,982.93, 2,739.15 and 1,546.56 is: 2,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.93 : 2,739.15 = 1,546.56 : x
  2. Step 2: Convert to fraction form
    1,982.93/2,739.15 = 1,546.56/x
  3. Step 3: Cross multiply
    1,982.93x = 2,739.15 × 1,546.56
  4. Step 4: Simplify right side
    1,982.93x = 4,236,259.82
  5. Step 5: Solve for x
    x = 4,236,259.82/1,982.93
  6. Step 6: Final answer
    x = 2,136.37

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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.