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Finding the Fourth Proportional to 1,444.62, 2,166.93 and 827.90

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Solution

The fourth proportional to 1,444.62, 2,166.93 and 827.90 is: 1,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.62 : 2,166.93 = 827.90 : x
  2. Step 2: Convert to fraction form
    1,444.62/2,166.93 = 827.90/x
  3. Step 3: Cross multiply
    1,444.62x = 2,166.93 × 827.90
  4. Step 4: Simplify right side
    1,444.62x = 1,794,001.35
  5. Step 5: Solve for x
    x = 1,794,001.35/1,444.62
  6. Step 6: Final answer
    x = 1,241.85

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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.