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Finding the Fourth Proportional to 4,676.94, 7,012.44 and 2,042.48

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Solution

The fourth proportional to 4,676.94, 7,012.44 and 2,042.48 is: 3,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.94 : 7,012.44 = 2,042.48 : x
  2. Step 2: Convert to fraction form
    4,676.94/7,012.44 = 2,042.48/x
  3. Step 3: Cross multiply
    4,676.94x = 7,012.44 × 2,042.48
  4. Step 4: Simplify right side
    4,676.94x = 14,322,785.98
  5. Step 5: Solve for x
    x = 14,322,785.98/4,676.94
  6. Step 6: Final answer
    x = 3,062.43

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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.