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Finding the Fourth Proportional to 1,932.82, 2,874.35 and 1,871.31

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Solution

The fourth proportional to 1,932.82, 2,874.35 and 1,871.31 is: 2,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.82 : 2,874.35 = 1,871.31 : x
  2. Step 2: Convert to fraction form
    1,932.82/2,874.35 = 1,871.31/x
  3. Step 3: Cross multiply
    1,932.82x = 2,874.35 × 1,871.31
  4. Step 4: Simplify right side
    1,932.82x = 5,378,799.90
  5. Step 5: Solve for x
    x = 5,378,799.90/1,932.82
  6. Step 6: Final answer
    x = 2,782.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.