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Finding the Fourth Proportional to 2,745.90, 3,787.98 and 1,960.42

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Solution

The fourth proportional to 2,745.90, 3,787.98 and 1,960.42 is: 2,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.90 : 3,787.98 = 1,960.42 : x
  2. Step 2: Convert to fraction form
    2,745.90/3,787.98 = 1,960.42/x
  3. Step 3: Cross multiply
    2,745.90x = 3,787.98 × 1,960.42
  4. Step 4: Simplify right side
    2,745.90x = 7,426,031.75
  5. Step 5: Solve for x
    x = 7,426,031.75/2,745.90
  6. Step 6: Final answer
    x = 2,704.41

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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.