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Finding the Fourth Proportional to 2,279.24, 3,419.24 and 980.72

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Solution

The fourth proportional to 2,279.24, 3,419.24 and 980.72 is: 1,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.24 : 3,419.24 = 980.72 : x
  2. Step 2: Convert to fraction form
    2,279.24/3,419.24 = 980.72/x
  3. Step 3: Cross multiply
    2,279.24x = 3,419.24 × 980.72
  4. Step 4: Simplify right side
    2,279.24x = 3,353,317.05
  5. Step 5: Solve for x
    x = 3,353,317.05/2,279.24
  6. Step 6: Final answer
    x = 1,471.24

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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.