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Finding the Fourth Proportional to 2,802, 4,202.92 and 853.92

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Solution

The fourth proportional to 2,802, 4,202.92 and 853.92 is: 1,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 4,202.92 = 853.92 : x
  2. Step 2: Convert to fraction form
    2,802/4,202.92 = 853.92/x
  3. Step 3: Cross multiply
    2,802x = 4,202.92 × 853.92
  4. Step 4: Simplify right side
    2,802x = 3,588,957.45
  5. Step 5: Solve for x
    x = 3,588,957.45/2,802
  6. Step 6: Final answer
    x = 1,280.86

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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.