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Finding the Fourth Proportional to 2,855.82, 4,277.67 and 1,865.13

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Solution

The fourth proportional to 2,855.82, 4,277.67 and 1,865.13 is: 2,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.82 : 4,277.67 = 1,865.13 : x
  2. Step 2: Convert to fraction form
    2,855.82/4,277.67 = 1,865.13/x
  3. Step 3: Cross multiply
    2,855.82x = 4,277.67 × 1,865.13
  4. Step 4: Simplify right side
    2,855.82x = 7,978,410.65
  5. Step 5: Solve for x
    x = 7,978,410.65/2,855.82
  6. Step 6: Final answer
    x = 2,793.74

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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.