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Finding the Fourth Proportional to 1,383.86, 1,905.81 and 1,274.42

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Solution

The fourth proportional to 1,383.86, 1,905.81 and 1,274.42 is: 1,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.86 : 1,905.81 = 1,274.42 : x
  2. Step 2: Convert to fraction form
    1,383.86/1,905.81 = 1,274.42/x
  3. Step 3: Cross multiply
    1,383.86x = 1,905.81 × 1,274.42
  4. Step 4: Simplify right side
    1,383.86x = 2,428,802.38
  5. Step 5: Solve for x
    x = 2,428,802.38/1,383.86
  6. Step 6: Final answer
    x = 1,755.09

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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.