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Finding the Fourth Proportional to 2,279.91, 3,420.68 and 982.29

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Solution

The fourth proportional to 2,279.91, 3,420.68 and 982.29 is: 1,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.91 : 3,420.68 = 982.29 : x
  2. Step 2: Convert to fraction form
    2,279.91/3,420.68 = 982.29/x
  3. Step 3: Cross multiply
    2,279.91x = 3,420.68 × 982.29
  4. Step 4: Simplify right side
    2,279.91x = 3,360,099.76
  5. Step 5: Solve for x
    x = 3,360,099.76/2,279.91
  6. Step 6: Final answer
    x = 1,473.79

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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.