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Finding the Fourth Proportional to 2,084.73, 3,126.23 and 851.30

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Solution

The fourth proportional to 2,084.73, 3,126.23 and 851.30 is: 1,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.73 : 3,126.23 = 851.30 : x
  2. Step 2: Convert to fraction form
    2,084.73/3,126.23 = 851.30/x
  3. Step 3: Cross multiply
    2,084.73x = 3,126.23 × 851.30
  4. Step 4: Simplify right side
    2,084.73x = 2,661,359.60
  5. Step 5: Solve for x
    x = 2,661,359.60/2,084.73
  6. Step 6: Final answer
    x = 1,276.60

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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.