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Finding the Fourth Proportional to 1,213.56, 1,669.92 and 1,181.32

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Solution

The fourth proportional to 1,213.56, 1,669.92 and 1,181.32 is: 1,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.56 : 1,669.92 = 1,181.32 : x
  2. Step 2: Convert to fraction form
    1,213.56/1,669.92 = 1,181.32/x
  3. Step 3: Cross multiply
    1,213.56x = 1,669.92 × 1,181.32
  4. Step 4: Simplify right side
    1,213.56x = 1,972,709.89
  5. Step 5: Solve for x
    x = 1,972,709.89/1,213.56
  6. Step 6: Final answer
    x = 1,625.56

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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.