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Finding the Fourth Proportional to 1,727.05, 2,383.32 and 941.09

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Solution

The fourth proportional to 1,727.05, 2,383.32 and 941.09 is: 1,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.05 : 2,383.32 = 941.09 : x
  2. Step 2: Convert to fraction form
    1,727.05/2,383.32 = 941.09/x
  3. Step 3: Cross multiply
    1,727.05x = 2,383.32 × 941.09
  4. Step 4: Simplify right side
    1,727.05x = 2,242,926.34
  5. Step 5: Solve for x
    x = 2,242,926.34/1,727.05
  6. Step 6: Final answer
    x = 1,298.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.