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Finding the Fourth Proportional to 2,624.16, 3,934.41 and 980.26

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Solution

The fourth proportional to 2,624.16, 3,934.41 and 980.26 is: 1,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.16 : 3,934.41 = 980.26 : x
  2. Step 2: Convert to fraction form
    2,624.16/3,934.41 = 980.26/x
  3. Step 3: Cross multiply
    2,624.16x = 3,934.41 × 980.26
  4. Step 4: Simplify right side
    2,624.16x = 3,856,744.75
  5. Step 5: Solve for x
    x = 3,856,744.75/2,624.16
  6. Step 6: Final answer
    x = 1,469.71

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