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Finding the Fourth Proportional to 1,223.12, 1,824.22 and 1,179.92

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Solution

The fourth proportional to 1,223.12, 1,824.22 and 1,179.92 is: 1,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.12 : 1,824.22 = 1,179.92 : x
  2. Step 2: Convert to fraction form
    1,223.12/1,824.22 = 1,179.92/x
  3. Step 3: Cross multiply
    1,223.12x = 1,824.22 × 1,179.92
  4. Step 4: Simplify right side
    1,223.12x = 2,152,433.66
  5. Step 5: Solve for x
    x = 2,152,433.66/1,223.12
  6. Step 6: Final answer
    x = 1,759.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.