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Finding the Fourth Proportional to 2,774.98, 4,163.10 and 827.02

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Solution

The fourth proportional to 2,774.98, 4,163.10 and 827.02 is: 1,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.98 : 4,163.10 = 827.02 : x
  2. Step 2: Convert to fraction form
    2,774.98/4,163.10 = 827.02/x
  3. Step 3: Cross multiply
    2,774.98x = 4,163.10 × 827.02
  4. Step 4: Simplify right side
    2,774.98x = 3,442,966.96
  5. Step 5: Solve for x
    x = 3,442,966.96/2,774.98
  6. Step 6: Final answer
    x = 1,240.72

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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.