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Finding the Fourth Proportional to 1,727.42, 2,383.83 and 941.45

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Solution

The fourth proportional to 1,727.42, 2,383.83 and 941.45 is: 1,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.42 : 2,383.83 = 941.45 : x
  2. Step 2: Convert to fraction form
    1,727.42/2,383.83 = 941.45/x
  3. Step 3: Cross multiply
    1,727.42x = 2,383.83 × 941.45
  4. Step 4: Simplify right side
    1,727.42x = 2,244,244.83
  5. Step 5: Solve for x
    x = 2,244,244.83/1,727.42
  6. Step 6: Final answer
    x = 1,299.19

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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.