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Finding the Fourth Proportional to 2,802.64, 4,202.98 and 827.75

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Solution

The fourth proportional to 2,802.64, 4,202.98 and 827.75 is: 1,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.64 : 4,202.98 = 827.75 : x
  2. Step 2: Convert to fraction form
    2,802.64/4,202.98 = 827.75/x
  3. Step 3: Cross multiply
    2,802.64x = 4,202.98 × 827.75
  4. Step 4: Simplify right side
    2,802.64x = 3,479,016.70
  5. Step 5: Solve for x
    x = 3,479,016.70/2,802.64
  6. Step 6: Final answer
    x = 1,241.34

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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.