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Finding the Fourth Proportional to 1,519.24, 2,096.72 and 856.15

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Solution

The fourth proportional to 1,519.24, 2,096.72 and 856.15 is: 1,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.24 : 2,096.72 = 856.15 : x
  2. Step 2: Convert to fraction form
    1,519.24/2,096.72 = 856.15/x
  3. Step 3: Cross multiply
    1,519.24x = 2,096.72 × 856.15
  4. Step 4: Simplify right side
    1,519.24x = 1,795,092.06
  5. Step 5: Solve for x
    x = 1,795,092.06/1,519.24
  6. Step 6: Final answer
    x = 1,181.58

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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.