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Finding the Fourth Proportional to 2,589.70, 3,880.23 and 1,818.82

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Solution

The fourth proportional to 2,589.70, 3,880.23 and 1,818.82 is: 2,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.70 : 3,880.23 = 1,818.82 : x
  2. Step 2: Convert to fraction form
    2,589.70/3,880.23 = 1,818.82/x
  3. Step 3: Cross multiply
    2,589.70x = 3,880.23 × 1,818.82
  4. Step 4: Simplify right side
    2,589.70x = 7,057,439.93
  5. Step 5: Solve for x
    x = 7,057,439.93/2,589.70
  6. Step 6: Final answer
    x = 2,725.20

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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.