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Finding the Fourth Proportional to 2,775.35, 4,162.91 and 827.49

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Solution

The fourth proportional to 2,775.35, 4,162.91 and 827.49 is: 1,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.35 : 4,162.91 = 827.49 : x
  2. Step 2: Convert to fraction form
    2,775.35/4,162.91 = 827.49/x
  3. Step 3: Cross multiply
    2,775.35x = 4,162.91 × 827.49
  4. Step 4: Simplify right side
    2,775.35x = 3,444,762.26
  5. Step 5: Solve for x
    x = 3,444,762.26/2,775.35
  6. Step 6: Final answer
    x = 1,241.20

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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.