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Finding the Fourth Proportional to 1,446.44, 1,994.27 and 1,180.61

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Solution

The fourth proportional to 1,446.44, 1,994.27 and 1,180.61 is: 1,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.44 : 1,994.27 = 1,180.61 : x
  2. Step 2: Convert to fraction form
    1,446.44/1,994.27 = 1,180.61/x
  3. Step 3: Cross multiply
    1,446.44x = 1,994.27 × 1,180.61
  4. Step 4: Simplify right side
    1,446.44x = 2,354,455.45
  5. Step 5: Solve for x
    x = 2,354,455.45/1,446.44
  6. Step 6: Final answer
    x = 1,627.76

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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.