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Finding the Fourth Proportional to 1,727.68, 2,384.20 and 941.73

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Solution

The fourth proportional to 1,727.68, 2,384.20 and 941.73 is: 1,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.68 : 2,384.20 = 941.73 : x
  2. Step 2: Convert to fraction form
    1,727.68/2,384.20 = 941.73/x
  3. Step 3: Cross multiply
    1,727.68x = 2,384.20 × 941.73
  4. Step 4: Simplify right side
    1,727.68x = 2,245,272.67
  5. Step 5: Solve for x
    x = 2,245,272.67/1,727.68
  6. Step 6: Final answer
    x = 1,299.59

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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.