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Finding the Fourth Proportional to 2,834, 4,243.38 and 1,599.56

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Solution

The fourth proportional to 2,834, 4,243.38 and 1,599.56 is: 2,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834 : 4,243.38 = 1,599.56 : x
  2. Step 2: Convert to fraction form
    2,834/4,243.38 = 1,599.56/x
  3. Step 3: Cross multiply
    2,834x = 4,243.38 × 1,599.56
  4. Step 4: Simplify right side
    2,834x = 6,787,540.91
  5. Step 5: Solve for x
    x = 6,787,540.91/2,834
  6. Step 6: Final answer
    x = 2,395.04

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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.