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Finding the Fourth Proportional to 2,801.85, 4,202.67 and 854

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Solution

The fourth proportional to 2,801.85, 4,202.67 and 854 is: 1,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.85 : 4,202.67 = 854 : x
  2. Step 2: Convert to fraction form
    2,801.85/4,202.67 = 854/x
  3. Step 3: Cross multiply
    2,801.85x = 4,202.67 × 854
  4. Step 4: Simplify right side
    2,801.85x = 3,589,080.18
  5. Step 5: Solve for x
    x = 3,589,080.18/2,801.85
  6. Step 6: Final answer
    x = 1,280.97

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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.