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Finding the Fourth Proportional to 2,730.64, 3,761.72 and 2,256.56

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Solution

The fourth proportional to 2,730.64, 3,761.72 and 2,256.56 is: 3,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.64 : 3,761.72 = 2,256.56 : x
  2. Step 2: Convert to fraction form
    2,730.64/3,761.72 = 2,256.56/x
  3. Step 3: Cross multiply
    2,730.64x = 3,761.72 × 2,256.56
  4. Step 4: Simplify right side
    2,730.64x = 8,488,546.88
  5. Step 5: Solve for x
    x = 8,488,546.88/2,730.64
  6. Step 6: Final answer
    x = 3,108.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.