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Finding the Fourth Proportional to 1,727.79, 2,384.35 and 941.84

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Solution

The fourth proportional to 1,727.79, 2,384.35 and 941.84 is: 1,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.79 : 2,384.35 = 941.84 : x
  2. Step 2: Convert to fraction form
    1,727.79/2,384.35 = 941.84/x
  3. Step 3: Cross multiply
    1,727.79x = 2,384.35 × 941.84
  4. Step 4: Simplify right side
    1,727.79x = 2,245,659.57
  5. Step 5: Solve for x
    x = 2,245,659.57/1,727.79
  6. Step 6: Final answer
    x = 1,299.73

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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.