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Finding the Fourth Proportional to 1,449.16, 2,000.41 and 978.41

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Solution

The fourth proportional to 1,449.16, 2,000.41 and 978.41 is: 1,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.16 : 2,000.41 = 978.41 : x
  2. Step 2: Convert to fraction form
    1,449.16/2,000.41 = 978.41/x
  3. Step 3: Cross multiply
    1,449.16x = 2,000.41 × 978.41
  4. Step 4: Simplify right side
    1,449.16x = 1,957,229.21
  5. Step 5: Solve for x
    x = 1,957,229.21/1,449.16
  6. Step 6: Final answer
    x = 1,350.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.