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Finding the Fourth Proportional to 1,222.77, 1,832.31 and 1,131.64

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Solution

The fourth proportional to 1,222.77, 1,832.31 and 1,131.64 is: 1,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.77 : 1,832.31 = 1,131.64 : x
  2. Step 2: Convert to fraction form
    1,222.77/1,832.31 = 1,131.64/x
  3. Step 3: Cross multiply
    1,222.77x = 1,832.31 × 1,131.64
  4. Step 4: Simplify right side
    1,222.77x = 2,073,517.58
  5. Step 5: Solve for x
    x = 2,073,517.58/1,222.77
  6. Step 6: Final answer
    x = 1,695.76

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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.