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Finding the Fourth Proportional to 2,714.82, 4,072.38 and 766.97

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Solution

The fourth proportional to 2,714.82, 4,072.38 and 766.97 is: 1,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.82 : 4,072.38 = 766.97 : x
  2. Step 2: Convert to fraction form
    2,714.82/4,072.38 = 766.97/x
  3. Step 3: Cross multiply
    2,714.82x = 4,072.38 × 766.97
  4. Step 4: Simplify right side
    2,714.82x = 3,123,385.32
  5. Step 5: Solve for x
    x = 3,123,385.32/2,714.82
  6. Step 6: Final answer
    x = 1,150.50

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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.