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Finding the Fourth Proportional to 2,991.39, 4,128.24 and 1,665.01

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Solution

The fourth proportional to 2,991.39, 4,128.24 and 1,665.01 is: 2,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.39 : 4,128.24 = 1,665.01 : x
  2. Step 2: Convert to fraction form
    2,991.39/4,128.24 = 1,665.01/x
  3. Step 3: Cross multiply
    2,991.39x = 4,128.24 × 1,665.01
  4. Step 4: Simplify right side
    2,991.39x = 6,873,560.88
  5. Step 5: Solve for x
    x = 6,873,560.88/2,991.39
  6. Step 6: Final answer
    x = 2,297.78

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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.