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Finding the Fourth Proportional to 2,273.42, 3,137.22 and 1,278.82

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Solution

The fourth proportional to 2,273.42, 3,137.22 and 1,278.82 is: 1,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.42 : 3,137.22 = 1,278.82 : x
  2. Step 2: Convert to fraction form
    2,273.42/3,137.22 = 1,278.82/x
  3. Step 3: Cross multiply
    2,273.42x = 3,137.22 × 1,278.82
  4. Step 4: Simplify right side
    2,273.42x = 4,011,939.68
  5. Step 5: Solve for x
    x = 4,011,939.68/2,273.42
  6. Step 6: Final answer
    x = 1,764.72

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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.