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Finding the Fourth Proportional to 2,714.74, 4,072.67 and 1,233.25

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Solution

The fourth proportional to 2,714.74, 4,072.67 and 1,233.25 is: 1,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.74 : 4,072.67 = 1,233.25 : x
  2. Step 2: Convert to fraction form
    2,714.74/4,072.67 = 1,233.25/x
  3. Step 3: Cross multiply
    2,714.74x = 4,072.67 × 1,233.25
  4. Step 4: Simplify right side
    2,714.74x = 5,022,620.28
  5. Step 5: Solve for x
    x = 5,022,620.28/2,714.74
  6. Step 6: Final answer
    x = 1,850.13

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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.