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Finding the Fourth Proportional to 1,867, 2,576.46 and 1,027.72

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Solution

The fourth proportional to 1,867, 2,576.46 and 1,027.72 is: 1,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867 : 2,576.46 = 1,027.72 : x
  2. Step 2: Convert to fraction form
    1,867/2,576.46 = 1,027.72/x
  3. Step 3: Cross multiply
    1,867x = 2,576.46 × 1,027.72
  4. Step 4: Simplify right side
    1,867x = 2,647,879.47
  5. Step 5: Solve for x
    x = 2,647,879.47/1,867
  6. Step 6: Final answer
    x = 1,418.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.