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Finding the Fourth Proportional to 1,811.06, 2,716.74 and 512.54

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Solution

The fourth proportional to 1,811.06, 2,716.74 and 512.54 is: 768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.06 : 2,716.74 = 512.54 : x
  2. Step 2: Convert to fraction form
    1,811.06/2,716.74 = 512.54/x
  3. Step 3: Cross multiply
    1,811.06x = 2,716.74 × 512.54
  4. Step 4: Simplify right side
    1,811.06x = 1,392,444.71
  5. Step 5: Solve for x
    x = 1,392,444.71/1,811.06
  6. Step 6: Final answer
    x = 768.86

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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.