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Finding the Fourth Proportional to 1,922.28, 2,885.40 and 827.40

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Solution

The fourth proportional to 1,922.28, 2,885.40 and 827.40 is: 1,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.28 : 2,885.40 = 827.40 : x
  2. Step 2: Convert to fraction form
    1,922.28/2,885.40 = 827.40/x
  3. Step 3: Cross multiply
    1,922.28x = 2,885.40 × 827.40
  4. Step 4: Simplify right side
    1,922.28x = 2,387,379.96
  5. Step 5: Solve for x
    x = 2,387,379.96/1,922.28
  6. Step 6: Final answer
    x = 1,241.95

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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.