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Finding the Fourth Proportional to 1,517.84, 2,276.68 and 422.28

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Solution

The fourth proportional to 1,517.84, 2,276.68 and 422.28 is: 633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.84 : 2,276.68 = 422.28 : x
  2. Step 2: Convert to fraction form
    1,517.84/2,276.68 = 422.28/x
  3. Step 3: Cross multiply
    1,517.84x = 2,276.68 × 422.28
  4. Step 4: Simplify right side
    1,517.84x = 961,396.43
  5. Step 5: Solve for x
    x = 961,396.43/1,517.84
  6. Step 6: Final answer
    x = 633.40

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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.