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Finding the Fourth Proportional to 3,305.81, 4,958.62 and 1,664.15

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Solution

The fourth proportional to 3,305.81, 4,958.62 and 1,664.15 is: 2,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.81 : 4,958.62 = 1,664.15 : x
  2. Step 2: Convert to fraction form
    3,305.81/4,958.62 = 1,664.15/x
  3. Step 3: Cross multiply
    3,305.81x = 4,958.62 × 1,664.15
  4. Step 4: Simplify right side
    3,305.81x = 8,251,858.52
  5. Step 5: Solve for x
    x = 8,251,858.52/3,305.81
  6. Step 6: Final answer
    x = 2,496.17

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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.