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Finding the Fourth Proportional to 2,821.02, 4,231.94 and 873.38

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Solution

The fourth proportional to 2,821.02, 4,231.94 and 873.38 is: 1,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.02 : 4,231.94 = 873.38 : x
  2. Step 2: Convert to fraction form
    2,821.02/4,231.94 = 873.38/x
  3. Step 3: Cross multiply
    2,821.02x = 4,231.94 × 873.38
  4. Step 4: Simplify right side
    2,821.02x = 3,696,091.76
  5. Step 5: Solve for x
    x = 3,696,091.76/2,821.02
  6. Step 6: Final answer
    x = 1,310.20

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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.