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Finding the Fourth Proportional to 2,440.24, 3,661.24 and 979.50

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Solution

The fourth proportional to 2,440.24, 3,661.24 and 979.50 is: 1,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.24 : 3,661.24 = 979.50 : x
  2. Step 2: Convert to fraction form
    2,440.24/3,661.24 = 979.50/x
  3. Step 3: Cross multiply
    2,440.24x = 3,661.24 × 979.50
  4. Step 4: Simplify right side
    2,440.24x = 3,586,184.58
  5. Step 5: Solve for x
    x = 3,586,184.58/2,440.24
  6. Step 6: Final answer
    x = 1,469.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.