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Finding the Fourth Proportional to 2,540.30, 3,809.72 and 980.18

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Solution

The fourth proportional to 2,540.30, 3,809.72 and 980.18 is: 1,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.30 : 3,809.72 = 980.18 : x
  2. Step 2: Convert to fraction form
    2,540.30/3,809.72 = 980.18/x
  3. Step 3: Cross multiply
    2,540.30x = 3,809.72 × 980.18
  4. Step 4: Simplify right side
    2,540.30x = 3,734,211.35
  5. Step 5: Solve for x
    x = 3,734,211.35/2,540.30
  6. Step 6: Final answer
    x = 1,469.99

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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.