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Finding the Fourth Proportional to 2,845.43, 3,927 and 1,667.49

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Solution

The fourth proportional to 2,845.43, 3,927 and 1,667.49 is: 2,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.43 : 3,927 = 1,667.49 : x
  2. Step 2: Convert to fraction form
    2,845.43/3,927 = 1,667.49/x
  3. Step 3: Cross multiply
    2,845.43x = 3,927 × 1,667.49
  4. Step 4: Simplify right side
    2,845.43x = 6,548,233.23
  5. Step 5: Solve for x
    x = 6,548,233.23/2,845.43
  6. Step 6: Final answer
    x = 2,301.32

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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.