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Finding the Fourth Proportional to 2,737.96, 3,778.63 and 1,559.09

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Solution

The fourth proportional to 2,737.96, 3,778.63 and 1,559.09 is: 2,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.96 : 3,778.63 = 1,559.09 : x
  2. Step 2: Convert to fraction form
    2,737.96/3,778.63 = 1,559.09/x
  3. Step 3: Cross multiply
    2,737.96x = 3,778.63 × 1,559.09
  4. Step 4: Simplify right side
    2,737.96x = 5,891,229.80
  5. Step 5: Solve for x
    x = 5,891,229.80/2,737.96
  6. Step 6: Final answer
    x = 2,151.69

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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.