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Finding the Fourth Proportional to 2,276.18, 3,414.27 and 632.73

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Solution

The fourth proportional to 2,276.18, 3,414.27 and 632.73 is: 949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.18 : 3,414.27 = 632.73 : x
  2. Step 2: Convert to fraction form
    2,276.18/3,414.27 = 632.73/x
  3. Step 3: Cross multiply
    2,276.18x = 3,414.27 × 632.73
  4. Step 4: Simplify right side
    2,276.18x = 2,160,293.99
  5. Step 5: Solve for x
    x = 2,160,293.99/2,276.18
  6. Step 6: Final answer
    x = 949.09

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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.