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Finding the Fourth Proportional to 2,440.44, 3,659.76 and 979.20

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Solution

The fourth proportional to 2,440.44, 3,659.76 and 979.20 is: 1,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.44 : 3,659.76 = 979.20 : x
  2. Step 2: Convert to fraction form
    2,440.44/3,659.76 = 979.20/x
  3. Step 3: Cross multiply
    2,440.44x = 3,659.76 × 979.20
  4. Step 4: Simplify right side
    2,440.44x = 3,583,636.99
  5. Step 5: Solve for x
    x = 3,583,636.99/2,440.44
  6. Step 6: Final answer
    x = 1,468.44

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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.