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Finding the Fourth Proportional to 1,777.23, 2,665.87 and 1,447.79

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Solution

The fourth proportional to 1,777.23, 2,665.87 and 1,447.79 is: 2,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.23 : 2,665.87 = 1,447.79 : x
  2. Step 2: Convert to fraction form
    1,777.23/2,665.87 = 1,447.79/x
  3. Step 3: Cross multiply
    1,777.23x = 2,665.87 × 1,447.79
  4. Step 4: Simplify right side
    1,777.23x = 3,859,619.93
  5. Step 5: Solve for x
    x = 3,859,619.93/1,777.23
  6. Step 6: Final answer
    x = 2,171.71

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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.