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Finding the Fourth Proportional to 2,825.64, 4,238.37 and 851.28

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Solution

The fourth proportional to 2,825.64, 4,238.37 and 851.28 is: 1,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.64 : 4,238.37 = 851.28 : x
  2. Step 2: Convert to fraction form
    2,825.64/4,238.37 = 851.28/x
  3. Step 3: Cross multiply
    2,825.64x = 4,238.37 × 851.28
  4. Step 4: Simplify right side
    2,825.64x = 3,608,039.61
  5. Step 5: Solve for x
    x = 3,608,039.61/2,825.64
  6. Step 6: Final answer
    x = 1,276.89

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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.