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Finding the Fourth Proportional to 2,274.78, 3,138.87 and 1,317.33

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Solution

The fourth proportional to 2,274.78, 3,138.87 and 1,317.33 is: 1,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.78 : 3,138.87 = 1,317.33 : x
  2. Step 2: Convert to fraction form
    2,274.78/3,138.87 = 1,317.33/x
  3. Step 3: Cross multiply
    2,274.78x = 3,138.87 × 1,317.33
  4. Step 4: Simplify right side
    2,274.78x = 4,134,927.62
  5. Step 5: Solve for x
    x = 4,134,927.62/2,274.78
  6. Step 6: Final answer
    x = 1,817.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.