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Finding the Fourth Proportional to 2,855.67, 4,273.36 and 1,744.74

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Solution

The fourth proportional to 2,855.67, 4,273.36 and 1,744.74 is: 2,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.67 : 4,273.36 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    2,855.67/4,273.36 = 1,744.74/x
  3. Step 3: Cross multiply
    2,855.67x = 4,273.36 × 1,744.74
  4. Step 4: Simplify right side
    2,855.67x = 7,455,920.33
  5. Step 5: Solve for x
    x = 7,455,920.33/2,855.67
  6. Step 6: Final answer
    x = 2,610.92

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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.