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Finding the Fourth Proportional to 1,219.46, 1,825.74 and 1,104.12

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Solution

The fourth proportional to 1,219.46, 1,825.74 and 1,104.12 is: 1,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.46 : 1,825.74 = 1,104.12 : x
  2. Step 2: Convert to fraction form
    1,219.46/1,825.74 = 1,104.12/x
  3. Step 3: Cross multiply
    1,219.46x = 1,825.74 × 1,104.12
  4. Step 4: Simplify right side
    1,219.46x = 2,015,836.05
  5. Step 5: Solve for x
    x = 2,015,836.05/1,219.46
  6. Step 6: Final answer
    x = 1,653.06

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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.