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Finding the Fourth Proportional to 2,276.11, 3,414.15 and 978.49

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Solution

The fourth proportional to 2,276.11, 3,414.15 and 978.49 is: 1,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.11 : 3,414.15 = 978.49 : x
  2. Step 2: Convert to fraction form
    2,276.11/3,414.15 = 978.49/x
  3. Step 3: Cross multiply
    2,276.11x = 3,414.15 × 978.49
  4. Step 4: Simplify right side
    2,276.11x = 3,340,711.63
  5. Step 5: Solve for x
    x = 3,340,711.63/2,276.11
  6. Step 6: Final answer
    x = 1,467.73

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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.