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Finding the Fourth Proportional to 2,440.34, 3,661.01 and 979.61

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Solution

The fourth proportional to 2,440.34, 3,661.01 and 979.61 is: 1,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.34 : 3,661.01 = 979.61 : x
  2. Step 2: Convert to fraction form
    2,440.34/3,661.01 = 979.61/x
  3. Step 3: Cross multiply
    2,440.34x = 3,661.01 × 979.61
  4. Step 4: Simplify right side
    2,440.34x = 3,586,346.15
  5. Step 5: Solve for x
    x = 3,586,346.15/2,440.34
  6. Step 6: Final answer
    x = 1,469.61

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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.