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Finding the Fourth Proportional to 2,774.93, 4,162.41 and 827.15

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Solution

The fourth proportional to 2,774.93, 4,162.41 and 827.15 is: 1,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.93 : 4,162.41 = 827.15 : x
  2. Step 2: Convert to fraction form
    2,774.93/4,162.41 = 827.15/x
  3. Step 3: Cross multiply
    2,774.93x = 4,162.41 × 827.15
  4. Step 4: Simplify right side
    2,774.93x = 3,442,937.43
  5. Step 5: Solve for x
    x = 3,442,937.43/2,774.93
  6. Step 6: Final answer
    x = 1,240.73

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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.