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Finding the Fourth Proportional to 1,855.89, 2,784.01 and 685.85

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Solution

The fourth proportional to 1,855.89, 2,784.01 and 685.85 is: 1,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.89 : 2,784.01 = 685.85 : x
  2. Step 2: Convert to fraction form
    1,855.89/2,784.01 = 685.85/x
  3. Step 3: Cross multiply
    1,855.89x = 2,784.01 × 685.85
  4. Step 4: Simplify right side
    1,855.89x = 1,909,413.26
  5. Step 5: Solve for x
    x = 1,909,413.26/1,855.89
  6. Step 6: Final answer
    x = 1,028.84

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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.