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Finding the Fourth Proportional to 2,821.68, 4,233.24 and 873.90

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Solution

The fourth proportional to 2,821.68, 4,233.24 and 873.90 is: 1,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.68 : 4,233.24 = 873.90 : x
  2. Step 2: Convert to fraction form
    2,821.68/4,233.24 = 873.90/x
  3. Step 3: Cross multiply
    2,821.68x = 4,233.24 × 873.90
  4. Step 4: Simplify right side
    2,821.68x = 3,699,428.44
  5. Step 5: Solve for x
    x = 3,699,428.44/2,821.68
  6. Step 6: Final answer
    x = 1,311.07

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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.