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Finding the Fourth Proportional to 1,835.82, 2,754.20 and 537.29

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Solution

The fourth proportional to 1,835.82, 2,754.20 and 537.29 is: 806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.82 : 2,754.20 = 537.29 : x
  2. Step 2: Convert to fraction form
    1,835.82/2,754.20 = 537.29/x
  3. Step 3: Cross multiply
    1,835.82x = 2,754.20 × 537.29
  4. Step 4: Simplify right side
    1,835.82x = 1,479,787.66
  5. Step 5: Solve for x
    x = 1,479,787.66/1,835.82
  6. Step 6: Final answer
    x = 806.06

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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.