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Finding the Fourth Proportional to 2,273.97, 3,410.96 and 976.35

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Solution

The fourth proportional to 2,273.97, 3,410.96 and 976.35 is: 1,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.97 : 3,410.96 = 976.35 : x
  2. Step 2: Convert to fraction form
    2,273.97/3,410.96 = 976.35/x
  3. Step 3: Cross multiply
    2,273.97x = 3,410.96 × 976.35
  4. Step 4: Simplify right side
    2,273.97x = 3,330,290.80
  5. Step 5: Solve for x
    x = 3,330,290.80/2,273.97
  6. Step 6: Final answer
    x = 1,464.53

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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.