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Finding the Fourth Proportional to 2,212.35, 3,317.41 and 980.14

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Solution

The fourth proportional to 2,212.35, 3,317.41 and 980.14 is: 1,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.35 : 3,317.41 = 980.14 : x
  2. Step 2: Convert to fraction form
    2,212.35/3,317.41 = 980.14/x
  3. Step 3: Cross multiply
    2,212.35x = 3,317.41 × 980.14
  4. Step 4: Simplify right side
    2,212.35x = 3,251,521.34
  5. Step 5: Solve for x
    x = 3,251,521.34/2,212.35
  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.