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Finding the Fourth Proportional to 3,042.26, 4,563.03 and 851.16

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Solution

The fourth proportional to 3,042.26, 4,563.03 and 851.16 is: 1,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.26 : 4,563.03 = 851.16 : x
  2. Step 2: Convert to fraction form
    3,042.26/4,563.03 = 851.16/x
  3. Step 3: Cross multiply
    3,042.26x = 4,563.03 × 851.16
  4. Step 4: Simplify right side
    3,042.26x = 3,883,863.25
  5. Step 5: Solve for x
    x = 3,883,863.25/3,042.26
  6. Step 6: Final answer
    x = 1,276.64

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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.