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Finding the Fourth Proportional to 1,612.05, 2,418.85 and 789.88

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Solution

The fourth proportional to 1,612.05, 2,418.85 and 789.88 is: 1,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.05 : 2,418.85 = 789.88 : x
  2. Step 2: Convert to fraction form
    1,612.05/2,418.85 = 789.88/x
  3. Step 3: Cross multiply
    1,612.05x = 2,418.85 × 789.88
  4. Step 4: Simplify right side
    1,612.05x = 1,910,601.24
  5. Step 5: Solve for x
    x = 1,910,601.24/1,612.05
  6. Step 6: Final answer
    x = 1,185.20

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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.