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Finding the Fourth Proportional to 1,811.76, 2,717.56 and 513.19

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Solution

The fourth proportional to 1,811.76, 2,717.56 and 513.19 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.76 : 2,717.56 = 513.19 : x
  2. Step 2: Convert to fraction form
    1,811.76/2,717.56 = 513.19/x
  3. Step 3: Cross multiply
    1,811.76x = 2,717.56 × 513.19
  4. Step 4: Simplify right side
    1,811.76x = 1,394,624.62
  5. Step 5: Solve for x
    x = 1,394,624.62/1,811.76
  6. Step 6: Final answer
    x = 769.76

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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.