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Finding the Fourth Proportional to 1,818.82, 2,728.23 and 520.12

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Solution

The fourth proportional to 1,818.82, 2,728.23 and 520.12 is: 780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.82 : 2,728.23 = 520.12 : x
  2. Step 2: Convert to fraction form
    1,818.82/2,728.23 = 520.12/x
  3. Step 3: Cross multiply
    1,818.82x = 2,728.23 × 520.12
  4. Step 4: Simplify right side
    1,818.82x = 1,419,006.99
  5. Step 5: Solve for x
    x = 1,419,006.99/1,818.82
  6. Step 6: Final answer
    x = 780.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.