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Finding the Fourth Proportional to 2,758.97, 4,138.45 and 1,940.90

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Solution

The fourth proportional to 2,758.97, 4,138.45 and 1,940.90 is: 2,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.97 : 4,138.45 = 1,940.90 : x
  2. Step 2: Convert to fraction form
    2,758.97/4,138.45 = 1,940.90/x
  3. Step 3: Cross multiply
    2,758.97x = 4,138.45 × 1,940.90
  4. Step 4: Simplify right side
    2,758.97x = 8,032,317.61
  5. Step 5: Solve for x
    x = 8,032,317.61/2,758.97
  6. Step 6: Final answer
    x = 2,911.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.