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Finding the Fourth Proportional to 2,778.50, 3,834.34 and 1,519.58

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Solution

The fourth proportional to 2,778.50, 3,834.34 and 1,519.58 is: 2,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.50 : 3,834.34 = 1,519.58 : x
  2. Step 2: Convert to fraction form
    2,778.50/3,834.34 = 1,519.58/x
  3. Step 3: Cross multiply
    2,778.50x = 3,834.34 × 1,519.58
  4. Step 4: Simplify right side
    2,778.50x = 5,826,586.38
  5. Step 5: Solve for x
    x = 5,826,586.38/2,778.50
  6. Step 6: Final answer
    x = 2,097.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.