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Finding the Fourth Proportional to 3,083.40, 4,625.70 and 892.20

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Solution

The fourth proportional to 3,083.40, 4,625.70 and 892.20 is: 1,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.40 : 4,625.70 = 892.20 : x
  2. Step 2: Convert to fraction form
    3,083.40/4,625.70 = 892.20/x
  3. Step 3: Cross multiply
    3,083.40x = 4,625.70 × 892.20
  4. Step 4: Simplify right side
    3,083.40x = 4,127,049.54
  5. Step 5: Solve for x
    x = 4,127,049.54/3,083.40
  6. Step 6: Final answer
    x = 1,338.47

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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.