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Finding the Fourth Proportional to 3,082.50, 4,253.85 and 1,685.25

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Solution

The fourth proportional to 3,082.50, 4,253.85 and 1,685.25 is: 2,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.50 : 4,253.85 = 1,685.25 : x
  2. Step 2: Convert to fraction form
    3,082.50/4,253.85 = 1,685.25/x
  3. Step 3: Cross multiply
    3,082.50x = 4,253.85 × 1,685.25
  4. Step 4: Simplify right side
    3,082.50x = 7,168,800.71
  5. Step 5: Solve for x
    x = 7,168,800.71/3,082.50
  6. Step 6: Final answer
    x = 2,325.65

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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.