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Finding the Fourth Proportional to 2,284.20, 3,425.96 and 640.91

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Solution

The fourth proportional to 2,284.20, 3,425.96 and 640.91 is: 961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.20 : 3,425.96 = 640.91 : x
  2. Step 2: Convert to fraction form
    2,284.20/3,425.96 = 640.91/x
  3. Step 3: Cross multiply
    2,284.20x = 3,425.96 × 640.91
  4. Step 4: Simplify right side
    2,284.20x = 2,195,742.19
  5. Step 5: Solve for x
    x = 2,195,742.19/2,284.20
  6. Step 6: Final answer
    x = 961.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.