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Finding the Fourth Proportional to 1,811.34, 2,717.22 and 512.88

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Solution

The fourth proportional to 1,811.34, 2,717.22 and 512.88 is: 769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.34 : 2,717.22 = 512.88 : x
  2. Step 2: Convert to fraction form
    1,811.34/2,717.22 = 512.88/x
  3. Step 3: Cross multiply
    1,811.34x = 2,717.22 × 512.88
  4. Step 4: Simplify right side
    1,811.34x = 1,393,607.79
  5. Step 5: Solve for x
    x = 1,393,607.79/1,811.34
  6. Step 6: Final answer
    x = 769.38

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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.