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Finding the Fourth Proportional to 3,082.54, 4,254.87 and 1,823.53

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Solution

The fourth proportional to 3,082.54, 4,254.87 and 1,823.53 is: 2,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.54 : 4,254.87 = 1,823.53 : x
  2. Step 2: Convert to fraction form
    3,082.54/4,254.87 = 1,823.53/x
  3. Step 3: Cross multiply
    3,082.54x = 4,254.87 × 1,823.53
  4. Step 4: Simplify right side
    3,082.54x = 7,758,883.09
  5. Step 5: Solve for x
    x = 7,758,883.09/3,082.54
  6. Step 6: Final answer
    x = 2,517.04

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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.