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Finding the Fourth Proportional to 2,082.90, 3,124.35 and 1,912.80

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Solution

The fourth proportional to 2,082.90, 3,124.35 and 1,912.80 is: 2,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.90 : 3,124.35 = 1,912.80 : x
  2. Step 2: Convert to fraction form
    2,082.90/3,124.35 = 1,912.80/x
  3. Step 3: Cross multiply
    2,082.90x = 3,124.35 × 1,912.80
  4. Step 4: Simplify right side
    2,082.90x = 5,976,256.68
  5. Step 5: Solve for x
    x = 5,976,256.68/2,082.90
  6. Step 6: Final answer
    x = 2,869.20

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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.