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Finding the Fourth Proportional to 2,846.20, 4,269.79 and 871.78

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Solution

The fourth proportional to 2,846.20, 4,269.79 and 871.78 is: 1,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.20 : 4,269.79 = 871.78 : x
  2. Step 2: Convert to fraction form
    2,846.20/4,269.79 = 871.78/x
  3. Step 3: Cross multiply
    2,846.20x = 4,269.79 × 871.78
  4. Step 4: Simplify right side
    2,846.20x = 3,722,317.53
  5. Step 5: Solve for x
    x = 3,722,317.53/2,846.20
  6. Step 6: Final answer
    x = 1,307.82

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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.