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Finding the Fourth Proportional to 2,559.63, 3,846.68 and 1,519.83

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Solution

The fourth proportional to 2,559.63, 3,846.68 and 1,519.83 is: 2,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.63 : 3,846.68 = 1,519.83 : x
  2. Step 2: Convert to fraction form
    2,559.63/3,846.68 = 1,519.83/x
  3. Step 3: Cross multiply
    2,559.63x = 3,846.68 × 1,519.83
  4. Step 4: Simplify right side
    2,559.63x = 5,846,292.07
  5. Step 5: Solve for x
    x = 5,846,292.07/2,559.63
  6. Step 6: Final answer
    x = 2,284.04

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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.