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Finding the Fourth Proportional to 2,821.42, 3,891.20 and 2,114.92

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Solution

The fourth proportional to 2,821.42, 3,891.20 and 2,114.92 is: 2,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.42 : 3,891.20 = 2,114.92 : x
  2. Step 2: Convert to fraction form
    2,821.42/3,891.20 = 2,114.92/x
  3. Step 3: Cross multiply
    2,821.42x = 3,891.20 × 2,114.92
  4. Step 4: Simplify right side
    2,821.42x = 8,229,570.99
  5. Step 5: Solve for x
    x = 8,229,570.99/2,821.42
  6. Step 6: Final answer
    x = 2,916.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.