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Finding the Fourth Proportional to 2,654.73, 3,667.28 and 2,127.12

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Solution

The fourth proportional to 2,654.73, 3,667.28 and 2,127.12 is: 2,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.73 : 3,667.28 = 2,127.12 : x
  2. Step 2: Convert to fraction form
    2,654.73/3,667.28 = 2,127.12/x
  3. Step 3: Cross multiply
    2,654.73x = 3,667.28 × 2,127.12
  4. Step 4: Simplify right side
    2,654.73x = 7,800,720.25
  5. Step 5: Solve for x
    x = 7,800,720.25/2,654.73
  6. Step 6: Final answer
    x = 2,938.42

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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.