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Finding the Fourth Proportional to 2,665.89, 3,679.56 and 1,781.37

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Solution

The fourth proportional to 2,665.89, 3,679.56 and 1,781.37 is: 2,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.89 : 3,679.56 = 1,781.37 : x
  2. Step 2: Convert to fraction form
    2,665.89/3,679.56 = 1,781.37/x
  3. Step 3: Cross multiply
    2,665.89x = 3,679.56 × 1,781.37
  4. Step 4: Simplify right side
    2,665.89x = 6,554,657.80
  5. Step 5: Solve for x
    x = 6,554,657.80/2,665.89
  6. Step 6: Final answer
    x = 2,458.71

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