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Finding the Fourth Proportional to 2,082.40, 3,126.90 and 1,930.80

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Solution

The fourth proportional to 2,082.40, 3,126.90 and 1,930.80 is: 2,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.40 : 3,126.90 = 1,930.80 : x
  2. Step 2: Convert to fraction form
    2,082.40/3,126.90 = 1,930.80/x
  3. Step 3: Cross multiply
    2,082.40x = 3,126.90 × 1,930.80
  4. Step 4: Simplify right side
    2,082.40x = 6,037,418.52
  5. Step 5: Solve for x
    x = 6,037,418.52/2,082.40
  6. Step 6: Final answer
    x = 2,899.26

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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.