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Finding the Fourth Proportional to 2,375.11, 3,558.76 and 814.27

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Solution

The fourth proportional to 2,375.11, 3,558.76 and 814.27 is: 1,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.11 : 3,558.76 = 814.27 : x
  2. Step 2: Convert to fraction form
    2,375.11/3,558.76 = 814.27/x
  3. Step 3: Cross multiply
    2,375.11x = 3,558.76 × 814.27
  4. Step 4: Simplify right side
    2,375.11x = 2,897,792.97
  5. Step 5: Solve for x
    x = 2,897,792.97/2,375.11
  6. Step 6: Final answer
    x = 1,220.07

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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.