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Finding the Fourth Proportional to 2,589.95, 3,880.61 and 1,819.07

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Solution

The fourth proportional to 2,589.95, 3,880.61 and 1,819.07 is: 2,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.95 : 3,880.61 = 1,819.07 : x
  2. Step 2: Convert to fraction form
    2,589.95/3,880.61 = 1,819.07/x
  3. Step 3: Cross multiply
    2,589.95x = 3,880.61 × 1,819.07
  4. Step 4: Simplify right side
    2,589.95x = 7,059,092.14
  5. Step 5: Solve for x
    x = 7,059,092.14/2,589.95
  6. Step 6: Final answer
    x = 2,725.57

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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.