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Finding the Fourth Proportional to 1,519.31, 2,096.41 and 856.03

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Solution

The fourth proportional to 1,519.31, 2,096.41 and 856.03 is: 1,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.31 : 2,096.41 = 856.03 : x
  2. Step 2: Convert to fraction form
    1,519.31/2,096.41 = 856.03/x
  3. Step 3: Cross multiply
    1,519.31x = 2,096.41 × 856.03
  4. Step 4: Simplify right side
    1,519.31x = 1,794,589.85
  5. Step 5: Solve for x
    x = 1,794,589.85/1,519.31
  6. Step 6: Final answer
    x = 1,181.19

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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.