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Finding the Fourth Proportional to 2,372.41, 3,558.20 and 640.63

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Solution

The fourth proportional to 2,372.41, 3,558.20 and 640.63 is: 960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.41 : 3,558.20 = 640.63 : x
  2. Step 2: Convert to fraction form
    2,372.41/3,558.20 = 640.63/x
  3. Step 3: Cross multiply
    2,372.41x = 3,558.20 × 640.63
  4. Step 4: Simplify right side
    2,372.41x = 2,279,489.67
  5. Step 5: Solve for x
    x = 2,279,489.67/2,372.41
  6. Step 6: Final answer
    x = 960.83

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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.