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Finding the Fourth Proportional to 2,602.11, 3,910.46 and 1,304.49

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Solution

The fourth proportional to 2,602.11, 3,910.46 and 1,304.49 is: 1,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.11 : 3,910.46 = 1,304.49 : x
  2. Step 2: Convert to fraction form
    2,602.11/3,910.46 = 1,304.49/x
  3. Step 3: Cross multiply
    2,602.11x = 3,910.46 × 1,304.49
  4. Step 4: Simplify right side
    2,602.11x = 5,101,149.44
  5. Step 5: Solve for x
    x = 5,101,149.44/2,602.11
  6. Step 6: Final answer
    x = 1,960.39

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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.