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Finding the Fourth Proportional to 2,654, 3,982.44 and 1,286

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Solution

The fourth proportional to 2,654, 3,982.44 and 1,286 is: 1,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654 : 3,982.44 = 1,286 : x
  2. Step 2: Convert to fraction form
    2,654/3,982.44 = 1,286/x
  3. Step 3: Cross multiply
    2,654x = 3,982.44 × 1,286
  4. Step 4: Simplify right side
    2,654x = 5,121,417.84
  5. Step 5: Solve for x
    x = 5,121,417.84/2,654
  6. Step 6: Final answer
    x = 1,929.70

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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.