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Finding the Fourth Proportional to 2,082.84, 3,123.99 and 850.02

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Solution

The fourth proportional to 2,082.84, 3,123.99 and 850.02 is: 1,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.84 : 3,123.99 = 850.02 : x
  2. Step 2: Convert to fraction form
    2,082.84/3,123.99 = 850.02/x
  3. Step 3: Cross multiply
    2,082.84x = 3,123.99 × 850.02
  4. Step 4: Simplify right side
    2,082.84x = 2,655,453.98
  5. Step 5: Solve for x
    x = 2,655,453.98/2,082.84
  6. Step 6: Final answer
    x = 1,274.92

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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.