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Finding the Fourth Proportional to 2,714.71, 4,072.22 and 767.07

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Solution

The fourth proportional to 2,714.71, 4,072.22 and 767.07 is: 1,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.71 : 4,072.22 = 767.07 : x
  2. Step 2: Convert to fraction form
    2,714.71/4,072.22 = 767.07/x
  3. Step 3: Cross multiply
    2,714.71x = 4,072.22 × 767.07
  4. Step 4: Simplify right side
    2,714.71x = 3,123,677.80
  5. Step 5: Solve for x
    x = 3,123,677.80/2,714.71
  6. Step 6: Final answer
    x = 1,150.65

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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.