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Finding the Fourth Proportional to 3,194.46, 4,813.41 and 2,658.63

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Solution

The fourth proportional to 3,194.46, 4,813.41 and 2,658.63 is: 4,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.46 : 4,813.41 = 2,658.63 : x
  2. Step 2: Convert to fraction form
    3,194.46/4,813.41 = 2,658.63/x
  3. Step 3: Cross multiply
    3,194.46x = 4,813.41 × 2,658.63
  4. Step 4: Simplify right side
    3,194.46x = 12,797,076.23
  5. Step 5: Solve for x
    x = 12,797,076.23/3,194.46
  6. Step 6: Final answer
    x = 4,006.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.