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Finding the Fourth Proportional to 1,942.53, 2,666.15 and 1,727.88

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Solution

The fourth proportional to 1,942.53, 2,666.15 and 1,727.88 is: 2,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.53 : 2,666.15 = 1,727.88 : x
  2. Step 2: Convert to fraction form
    1,942.53/2,666.15 = 1,727.88/x
  3. Step 3: Cross multiply
    1,942.53x = 2,666.15 × 1,727.88
  4. Step 4: Simplify right side
    1,942.53x = 4,606,778.62
  5. Step 5: Solve for x
    x = 4,606,778.62/1,942.53
  6. Step 6: Final answer
    x = 2,371.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.