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Finding the Fourth Proportional to 3,082.47, 4,253.83 and 1,685.22

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Solution

The fourth proportional to 3,082.47, 4,253.83 and 1,685.22 is: 2,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.47 : 4,253.83 = 1,685.22 : x
  2. Step 2: Convert to fraction form
    3,082.47/4,253.83 = 1,685.22/x
  3. Step 3: Cross multiply
    3,082.47x = 4,253.83 × 1,685.22
  4. Step 4: Simplify right side
    3,082.47x = 7,168,630.97
  5. Step 5: Solve for x
    x = 7,168,630.97/3,082.47
  6. Step 6: Final answer
    x = 2,325.61

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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.