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Finding the Fourth Proportional to 1,834.24, 2,750.19 and 779.49

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Solution

The fourth proportional to 1,834.24, 2,750.19 and 779.49 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.24 : 2,750.19 = 779.49 : x
  2. Step 2: Convert to fraction form
    1,834.24/2,750.19 = 779.49/x
  3. Step 3: Cross multiply
    1,834.24x = 2,750.19 × 779.49
  4. Step 4: Simplify right side
    1,834.24x = 2,143,745.60
  5. Step 5: Solve for x
    x = 2,143,745.60/1,834.24
  6. Step 6: Final answer
    x = 1,168.74

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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.