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Finding the Fourth Proportional to 2,774.75, 4,161.51 and 827.10

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Solution

The fourth proportional to 2,774.75, 4,161.51 and 827.10 is: 1,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.75 : 4,161.51 = 827.10 : x
  2. Step 2: Convert to fraction form
    2,774.75/4,161.51 = 827.10/x
  3. Step 3: Cross multiply
    2,774.75x = 4,161.51 × 827.10
  4. Step 4: Simplify right side
    2,774.75x = 3,441,984.92
  5. Step 5: Solve for x
    x = 3,441,984.92/2,774.75
  6. Step 6: Final answer
    x = 1,240.47

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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.