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Finding the Fourth Proportional to 2,821.41, 4,232.42 and 873.77

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Solution

The fourth proportional to 2,821.41, 4,232.42 and 873.77 is: 1,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.41 : 4,232.42 = 873.77 : x
  2. Step 2: Convert to fraction form
    2,821.41/4,232.42 = 873.77/x
  3. Step 3: Cross multiply
    2,821.41x = 4,232.42 × 873.77
  4. Step 4: Simplify right side
    2,821.41x = 3,698,136.09
  5. Step 5: Solve for x
    x = 3,698,136.09/2,821.41
  6. Step 6: Final answer
    x = 1,310.74

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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.