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Finding the Fourth Proportional to 1,935.14, 2,671.14 and 1,138.44

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Solution

The fourth proportional to 1,935.14, 2,671.14 and 1,138.44 is: 1,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.14 : 2,671.14 = 1,138.44 : x
  2. Step 2: Convert to fraction form
    1,935.14/2,671.14 = 1,138.44/x
  3. Step 3: Cross multiply
    1,935.14x = 2,671.14 × 1,138.44
  4. Step 4: Simplify right side
    1,935.14x = 3,040,931.88
  5. Step 5: Solve for x
    x = 3,040,931.88/1,935.14
  6. Step 6: Final answer
    x = 1,571.43

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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.