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Finding the Fourth Proportional to 2,002.68, 2,759.94 and 1,559.88

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Solution

The fourth proportional to 2,002.68, 2,759.94 and 1,559.88 is: 2,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 2,759.94 = 1,559.88 : x
  2. Step 2: Convert to fraction form
    2,002.68/2,759.94 = 1,559.88/x
  3. Step 3: Cross multiply
    2,002.68x = 2,759.94 × 1,559.88
  4. Step 4: Simplify right side
    2,002.68x = 4,305,175.21
  5. Step 5: Solve for x
    x = 4,305,175.21/2,002.68
  6. Step 6: Final answer
    x = 2,149.71

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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.