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Finding the Fourth Proportional to 3,082.79, 4,254.23 and 1,685.54

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Solution

The fourth proportional to 3,082.79, 4,254.23 and 1,685.54 is: 2,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.79 : 4,254.23 = 1,685.54 : x
  2. Step 2: Convert to fraction form
    3,082.79/4,254.23 = 1,685.54/x
  3. Step 3: Cross multiply
    3,082.79x = 4,254.23 × 1,685.54
  4. Step 4: Simplify right side
    3,082.79x = 7,170,689.68
  5. Step 5: Solve for x
    x = 7,170,689.68/3,082.79
  6. Step 6: Final answer
    x = 2,326.04

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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.