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Finding the Fourth Proportional to 2,821.02, 4,231.94 and 873.39

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Solution

The fourth proportional to 2,821.02, 4,231.94 and 873.39 is: 1,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.02 : 4,231.94 = 873.39 : x
  2. Step 2: Convert to fraction form
    2,821.02/4,231.94 = 873.39/x
  3. Step 3: Cross multiply
    2,821.02x = 4,231.94 × 873.39
  4. Step 4: Simplify right side
    2,821.02x = 3,696,129.71
  5. Step 5: Solve for x
    x = 3,696,129.71/2,821.02
  6. Step 6: Final answer
    x = 1,310.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.