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Finding the Fourth Proportional to 2,745.63, 4,115.20 and 1,012.23

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Solution

The fourth proportional to 2,745.63, 4,115.20 and 1,012.23 is: 1,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.63 : 4,115.20 = 1,012.23 : x
  2. Step 2: Convert to fraction form
    2,745.63/4,115.20 = 1,012.23/x
  3. Step 3: Cross multiply
    2,745.63x = 4,115.20 × 1,012.23
  4. Step 4: Simplify right side
    2,745.63x = 4,165,528.90
  5. Step 5: Solve for x
    x = 4,165,528.90/2,745.63
  6. Step 6: Final answer
    x = 1,517.15

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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.