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Finding the Fourth Proportional to 3,318.75, 4,977.78 and 2,082.50

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Solution

The fourth proportional to 3,318.75, 4,977.78 and 2,082.50 is: 3,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.75 : 4,977.78 = 2,082.50 : x
  2. Step 2: Convert to fraction form
    3,318.75/4,977.78 = 2,082.50/x
  3. Step 3: Cross multiply
    3,318.75x = 4,977.78 × 2,082.50
  4. Step 4: Simplify right side
    3,318.75x = 10,366,201.96
  5. Step 5: Solve for x
    x = 10,366,201.96/3,318.75
  6. Step 6: Final answer
    x = 3,123.53

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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.