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Finding the Fourth Proportional to 2,082.87, 3,122.12 and 985.93

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Solution

The fourth proportional to 2,082.87, 3,122.12 and 985.93 is: 1,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.87 : 3,122.12 = 985.93 : x
  2. Step 2: Convert to fraction form
    2,082.87/3,122.12 = 985.93/x
  3. Step 3: Cross multiply
    2,082.87x = 3,122.12 × 985.93
  4. Step 4: Simplify right side
    2,082.87x = 3,078,186.43
  5. Step 5: Solve for x
    x = 3,078,186.43/2,082.87
  6. Step 6: Final answer
    x = 1,477.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.