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Finding the Fourth Proportional to 1,519.30, 2,096.73 and 856.21

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Solution

The fourth proportional to 1,519.30, 2,096.73 and 856.21 is: 1,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.30 : 2,096.73 = 856.21 : x
  2. Step 2: Convert to fraction form
    1,519.30/2,096.73 = 856.21/x
  3. Step 3: Cross multiply
    1,519.30x = 2,096.73 × 856.21
  4. Step 4: Simplify right side
    1,519.30x = 1,795,241.19
  5. Step 5: Solve for x
    x = 1,795,241.19/1,519.30
  6. Step 6: Final answer
    x = 1,181.62

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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.