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Finding the Fourth Proportional to 2,606.82, 3,910.25 and 659.02

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Solution

The fourth proportional to 2,606.82, 3,910.25 and 659.02 is: 988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.82 : 3,910.25 = 659.02 : x
  2. Step 2: Convert to fraction form
    2,606.82/3,910.25 = 659.02/x
  3. Step 3: Cross multiply
    2,606.82x = 3,910.25 × 659.02
  4. Step 4: Simplify right side
    2,606.82x = 2,576,932.96
  5. Step 5: Solve for x
    x = 2,576,932.96/2,606.82
  6. Step 6: Final answer
    x = 988.54

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