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Finding the Fourth Proportional to 3,082.90, 4,622.14 and 1,438.55

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Solution

The fourth proportional to 3,082.90, 4,622.14 and 1,438.55 is: 2,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.90 : 4,622.14 = 1,438.55 : x
  2. Step 2: Convert to fraction form
    3,082.90/4,622.14 = 1,438.55/x
  3. Step 3: Cross multiply
    3,082.90x = 4,622.14 × 1,438.55
  4. Step 4: Simplify right side
    3,082.90x = 6,649,179.50
  5. Step 5: Solve for x
    x = 6,649,179.50/3,082.90
  6. Step 6: Final answer
    x = 2,156.79

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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.