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Finding the Fourth Proportional to 3,082.96, 4,624.53 and 1,351.54

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Solution

The fourth proportional to 3,082.96, 4,624.53 and 1,351.54 is: 2,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.96 : 4,624.53 = 1,351.54 : x
  2. Step 2: Convert to fraction form
    3,082.96/4,624.53 = 1,351.54/x
  3. Step 3: Cross multiply
    3,082.96x = 4,624.53 × 1,351.54
  4. Step 4: Simplify right side
    3,082.96x = 6,250,237.28
  5. Step 5: Solve for x
    x = 6,250,237.28/3,082.96
  6. Step 6: Final answer
    x = 2,027.35

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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.