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Finding the Fourth Proportional to 1,727.88, 2,384.50 and 941.92

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Solution

The fourth proportional to 1,727.88, 2,384.50 and 941.92 is: 1,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.88 : 2,384.50 = 941.92 : x
  2. Step 2: Convert to fraction form
    1,727.88/2,384.50 = 941.92/x
  3. Step 3: Cross multiply
    1,727.88x = 2,384.50 × 941.92
  4. Step 4: Simplify right side
    1,727.88x = 2,246,008.24
  5. Step 5: Solve for x
    x = 2,246,008.24/1,727.88
  6. Step 6: Final answer
    x = 1,299.86

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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.