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Finding the Fourth Proportional to 2,148.67, 3,224.40 and 979.30

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Solution

The fourth proportional to 2,148.67, 3,224.40 and 979.30 is: 1,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.67 : 3,224.40 = 979.30 : x
  2. Step 2: Convert to fraction form
    2,148.67/3,224.40 = 979.30/x
  3. Step 3: Cross multiply
    2,148.67x = 3,224.40 × 979.30
  4. Step 4: Simplify right side
    2,148.67x = 3,157,654.92
  5. Step 5: Solve for x
    x = 3,157,654.92/2,148.67
  6. Step 6: Final answer
    x = 1,469.59

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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.