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Finding the Fourth Proportional to 2,440.28, 3,658.25 and 978.44

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Solution

The fourth proportional to 2,440.28, 3,658.25 and 978.44 is: 1,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.28 : 3,658.25 = 978.44 : x
  2. Step 2: Convert to fraction form
    2,440.28/3,658.25 = 978.44/x
  3. Step 3: Cross multiply
    2,440.28x = 3,658.25 × 978.44
  4. Step 4: Simplify right side
    2,440.28x = 3,579,354.95
  5. Step 5: Solve for x
    x = 3,579,354.95/2,440.28
  6. Step 6: Final answer
    x = 1,466.78

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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.