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Finding the Fourth Proportional to 2,489.22, 3,733.58 and 640.28

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Solution

The fourth proportional to 2,489.22, 3,733.58 and 640.28 is: 960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.22 : 3,733.58 = 640.28 : x
  2. Step 2: Convert to fraction form
    2,489.22/3,733.58 = 640.28/x
  3. Step 3: Cross multiply
    2,489.22x = 3,733.58 × 640.28
  4. Step 4: Simplify right side
    2,489.22x = 2,390,514.73
  5. Step 5: Solve for x
    x = 2,390,514.73/2,489.22
  6. Step 6: Final answer
    x = 960.35

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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.