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Finding the Fourth Proportional to 2,026.94, 3,040.41 and 658.94

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Solution

The fourth proportional to 2,026.94, 3,040.41 and 658.94 is: 988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.94 : 3,040.41 = 658.94 : x
  2. Step 2: Convert to fraction form
    2,026.94/3,040.41 = 658.94/x
  3. Step 3: Cross multiply
    2,026.94x = 3,040.41 × 658.94
  4. Step 4: Simplify right side
    2,026.94x = 2,003,447.77
  5. Step 5: Solve for x
    x = 2,003,447.77/2,026.94
  6. Step 6: Final answer
    x = 988.41

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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.