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Finding the Fourth Proportional to 2,180.54, 3,008.67 and 1,591.40

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Solution

The fourth proportional to 2,180.54, 3,008.67 and 1,591.40 is: 2,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.54 : 3,008.67 = 1,591.40 : x
  2. Step 2: Convert to fraction form
    2,180.54/3,008.67 = 1,591.40/x
  3. Step 3: Cross multiply
    2,180.54x = 3,008.67 × 1,591.40
  4. Step 4: Simplify right side
    2,180.54x = 4,787,997.44
  5. Step 5: Solve for x
    x = 4,787,997.44/2,180.54
  6. Step 6: Final answer
    x = 2,195.79

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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.