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Finding the Fourth Proportional to 4,654.73, 6,982.08 and 1,144.75

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Solution

The fourth proportional to 4,654.73, 6,982.08 and 1,144.75 is: 1,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.73 : 6,982.08 = 1,144.75 : x
  2. Step 2: Convert to fraction form
    4,654.73/6,982.08 = 1,144.75/x
  3. Step 3: Cross multiply
    4,654.73x = 6,982.08 × 1,144.75
  4. Step 4: Simplify right side
    4,654.73x = 7,992,736.08
  5. Step 5: Solve for x
    x = 7,992,736.08/4,654.73
  6. Step 6: Final answer
    x = 1,717.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.