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Finding the Fourth Proportional to 1,982.63, 2,735.81 and 1,143.37

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Solution

The fourth proportional to 1,982.63, 2,735.81 and 1,143.37 is: 1,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.63 : 2,735.81 = 1,143.37 : x
  2. Step 2: Convert to fraction form
    1,982.63/2,735.81 = 1,143.37/x
  3. Step 3: Cross multiply
    1,982.63x = 2,735.81 × 1,143.37
  4. Step 4: Simplify right side
    1,982.63x = 3,128,043.08
  5. Step 5: Solve for x
    x = 3,128,043.08/1,982.63
  6. Step 6: Final answer
    x = 1,577.72

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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.