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Finding the Fourth Proportional to 1,818.86, 2,728.71 and 520.34

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Solution

The fourth proportional to 1,818.86, 2,728.71 and 520.34 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.86 : 2,728.71 = 520.34 : x
  2. Step 2: Convert to fraction form
    1,818.86/2,728.71 = 520.34/x
  3. Step 3: Cross multiply
    1,818.86x = 2,728.71 × 520.34
  4. Step 4: Simplify right side
    1,818.86x = 1,419,843.32
  5. Step 5: Solve for x
    x = 1,419,843.32/1,818.86
  6. Step 6: Final answer
    x = 780.62

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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.