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Finding the Fourth Proportional to 1,811.32, 2,716.96 and 512.80

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Solution

The fourth proportional to 1,811.32, 2,716.96 and 512.80 is: 769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.32 : 2,716.96 = 512.80 : x
  2. Step 2: Convert to fraction form
    1,811.32/2,716.96 = 512.80/x
  3. Step 3: Cross multiply
    1,811.32x = 2,716.96 × 512.80
  4. Step 4: Simplify right side
    1,811.32x = 1,393,257.09
  5. Step 5: Solve for x
    x = 1,393,257.09/1,811.32
  6. Step 6: Final answer
    x = 769.19

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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.