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Finding the Fourth Proportional to 2,772.78, 4,159.14 and 2,634.36

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Solution

The fourth proportional to 2,772.78, 4,159.14 and 2,634.36 is: 3,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.78 : 4,159.14 = 2,634.36 : x
  2. Step 2: Convert to fraction form
    2,772.78/4,159.14 = 2,634.36/x
  3. Step 3: Cross multiply
    2,772.78x = 4,159.14 × 2,634.36
  4. Step 4: Simplify right side
    2,772.78x = 10,956,672.05
  5. Step 5: Solve for x
    x = 10,956,672.05/2,772.78
  6. Step 6: Final answer
    x = 3,951.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.