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Finding the Fourth Proportional to 2,139.37, 3,208.22 and 658.15

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Solution

The fourth proportional to 2,139.37, 3,208.22 and 658.15 is: 986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.37 : 3,208.22 = 658.15 : x
  2. Step 2: Convert to fraction form
    2,139.37/3,208.22 = 658.15/x
  3. Step 3: Cross multiply
    2,139.37x = 3,208.22 × 658.15
  4. Step 4: Simplify right side
    2,139.37x = 2,111,489.99
  5. Step 5: Solve for x
    x = 2,111,489.99/2,139.37
  6. Step 6: Final answer
    x = 986.97

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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.