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Finding the Fourth Proportional to 2,778.39, 3,834.27 and 1,599.57

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Solution

The fourth proportional to 2,778.39, 3,834.27 and 1,599.57 is: 2,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.39 : 3,834.27 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    2,778.39/3,834.27 = 1,599.57/x
  3. Step 3: Cross multiply
    2,778.39x = 3,834.27 × 1,599.57
  4. Step 4: Simplify right side
    2,778.39x = 6,133,183.26
  5. Step 5: Solve for x
    x = 6,133,183.26/2,778.39
  6. Step 6: Final answer
    x = 2,207.46

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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.