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Finding the Fourth Proportional to 2,372.57, 3,558.89 and 641.20

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Solution

The fourth proportional to 2,372.57, 3,558.89 and 641.20 is: 961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.57 : 3,558.89 = 641.20 : x
  2. Step 2: Convert to fraction form
    2,372.57/3,558.89 = 641.20/x
  3. Step 3: Cross multiply
    2,372.57x = 3,558.89 × 641.20
  4. Step 4: Simplify right side
    2,372.57x = 2,281,960.27
  5. Step 5: Solve for x
    x = 2,281,960.27/2,372.57
  6. Step 6: Final answer
    x = 961.81

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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.