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Finding the Fourth Proportional to 3,082.74, 4,253.15 and 1,824.21

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Solution

The fourth proportional to 3,082.74, 4,253.15 and 1,824.21 is: 2,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.74 : 4,253.15 = 1,824.21 : x
  2. Step 2: Convert to fraction form
    3,082.74/4,253.15 = 1,824.21/x
  3. Step 3: Cross multiply
    3,082.74x = 4,253.15 × 1,824.21
  4. Step 4: Simplify right side
    3,082.74x = 7,758,629.64
  5. Step 5: Solve for x
    x = 7,758,629.64/3,082.74
  6. Step 6: Final answer
    x = 2,516.80

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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.