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Finding the Fourth Proportional to 2,745.78, 4,120.02 and 1,285.04

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Solution

The fourth proportional to 2,745.78, 4,120.02 and 1,285.04 is: 1,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.78 : 4,120.02 = 1,285.04 : x
  2. Step 2: Convert to fraction form
    2,745.78/4,120.02 = 1,285.04/x
  3. Step 3: Cross multiply
    2,745.78x = 4,120.02 × 1,285.04
  4. Step 4: Simplify right side
    2,745.78x = 5,294,369.90
  5. Step 5: Solve for x
    x = 5,294,369.90/2,745.78
  6. Step 6: Final answer
    x = 1,928.18

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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.