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Finding the Fourth Proportional to 2,654.44, 3,997.11 and 1,966.01

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Solution

The fourth proportional to 2,654.44, 3,997.11 and 1,966.01 is: 2,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.44 : 3,997.11 = 1,966.01 : x
  2. Step 2: Convert to fraction form
    2,654.44/3,997.11 = 1,966.01/x
  3. Step 3: Cross multiply
    2,654.44x = 3,997.11 × 1,966.01
  4. Step 4: Simplify right side
    2,654.44x = 7,858,345.62
  5. Step 5: Solve for x
    x = 7,858,345.62/2,654.44
  6. Step 6: Final answer
    x = 2,960.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.