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Finding the Fourth Proportional to 2,256.88, 3,112.78 and 1,942.68

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Solution

The fourth proportional to 2,256.88, 3,112.78 and 1,942.68 is: 2,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.88 : 3,112.78 = 1,942.68 : x
  2. Step 2: Convert to fraction form
    2,256.88/3,112.78 = 1,942.68/x
  3. Step 3: Cross multiply
    2,256.88x = 3,112.78 × 1,942.68
  4. Step 4: Simplify right side
    2,256.88x = 6,047,135.45
  5. Step 5: Solve for x
    x = 6,047,135.45/2,256.88
  6. Step 6: Final answer
    x = 2,679.42

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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.