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Finding the Fourth Proportional to 2,714.73, 4,071.74 and 767.09

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Solution

The fourth proportional to 2,714.73, 4,071.74 and 767.09 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.73 : 4,071.74 = 767.09 : x
  2. Step 2: Convert to fraction form
    2,714.73/4,071.74 = 767.09/x
  3. Step 3: Cross multiply
    2,714.73x = 4,071.74 × 767.09
  4. Step 4: Simplify right side
    2,714.73x = 3,123,366.84
  5. Step 5: Solve for x
    x = 3,123,366.84/2,714.73
  6. Step 6: Final answer
    x = 1,150.53

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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.