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Finding the Fourth Proportional to 1,867.25, 2,800.23 and 827.98

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Solution

The fourth proportional to 1,867.25, 2,800.23 and 827.98 is: 1,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.25 : 2,800.23 = 827.98 : x
  2. Step 2: Convert to fraction form
    1,867.25/2,800.23 = 827.98/x
  3. Step 3: Cross multiply
    1,867.25x = 2,800.23 × 827.98
  4. Step 4: Simplify right side
    1,867.25x = 2,318,532.45
  5. Step 5: Solve for x
    x = 2,318,532.45/1,867.25
  6. Step 6: Final answer
    x = 1,241.68

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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.