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Finding the Fourth Proportional to 2,825.40, 4,238.46 and 976.44

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Solution

The fourth proportional to 2,825.40, 4,238.46 and 976.44 is: 1,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.40 : 4,238.46 = 976.44 : x
  2. Step 2: Convert to fraction form
    2,825.40/4,238.46 = 976.44/x
  3. Step 3: Cross multiply
    2,825.40x = 4,238.46 × 976.44
  4. Step 4: Simplify right side
    2,825.40x = 4,138,601.88
  5. Step 5: Solve for x
    x = 4,138,601.88/2,825.40
  6. Step 6: Final answer
    x = 1,464.78

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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.