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Finding the Fourth Proportional to 2,733.40, 4,099.83 and 884

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Solution

The fourth proportional to 2,733.40, 4,099.83 and 884 is: 1,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.40 : 4,099.83 = 884 : x
  2. Step 2: Convert to fraction form
    2,733.40/4,099.83 = 884/x
  3. Step 3: Cross multiply
    2,733.40x = 4,099.83 × 884
  4. Step 4: Simplify right side
    2,733.40x = 3,624,249.72
  5. Step 5: Solve for x
    x = 3,624,249.72/2,733.40
  6. Step 6: Final answer
    x = 1,325.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.