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Finding the Fourth Proportional to 1,224.56, 1,833.19 and 1,180.82

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Solution

The fourth proportional to 1,224.56, 1,833.19 and 1,180.82 is: 1,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.56 : 1,833.19 = 1,180.82 : x
  2. Step 2: Convert to fraction form
    1,224.56/1,833.19 = 1,180.82/x
  3. Step 3: Cross multiply
    1,224.56x = 1,833.19 × 1,180.82
  4. Step 4: Simplify right side
    1,224.56x = 2,164,655.30
  5. Step 5: Solve for x
    x = 2,164,655.30/1,224.56
  6. Step 6: Final answer
    x = 1,767.71

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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.