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Finding the Fourth Proportional to 2,855.89, 4,273.07 and 1,686.54

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Solution

The fourth proportional to 2,855.89, 4,273.07 and 1,686.54 is: 2,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.89 : 4,273.07 = 1,686.54 : x
  2. Step 2: Convert to fraction form
    2,855.89/4,273.07 = 1,686.54/x
  3. Step 3: Cross multiply
    2,855.89x = 4,273.07 × 1,686.54
  4. Step 4: Simplify right side
    2,855.89x = 7,206,696.52
  5. Step 5: Solve for x
    x = 7,206,696.52/2,855.89
  6. Step 6: Final answer
    x = 2,523.45

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