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Finding the Fourth Proportional to 2,214.84, 3,322.44 and 827.94

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Solution

The fourth proportional to 2,214.84, 3,322.44 and 827.94 is: 1,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.84 : 3,322.44 = 827.94 : x
  2. Step 2: Convert to fraction form
    2,214.84/3,322.44 = 827.94/x
  3. Step 3: Cross multiply
    2,214.84x = 3,322.44 × 827.94
  4. Step 4: Simplify right side
    2,214.84x = 2,750,780.97
  5. Step 5: Solve for x
    x = 2,750,780.97/2,214.84
  6. Step 6: Final answer
    x = 1,241.98

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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.