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Finding the Fourth Proportional to 3,084.60, 4,625.46 and 892.80

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Solution

The fourth proportional to 3,084.60, 4,625.46 and 892.80 is: 1,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.60 : 4,625.46 = 892.80 : x
  2. Step 2: Convert to fraction form
    3,084.60/4,625.46 = 892.80/x
  3. Step 3: Cross multiply
    3,084.60x = 4,625.46 × 892.80
  4. Step 4: Simplify right side
    3,084.60x = 4,129,610.69
  5. Step 5: Solve for x
    x = 4,129,610.69/3,084.60
  6. Step 6: Final answer
    x = 1,338.78

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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.