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Finding the Fourth Proportional to 2,574.27, 3,860.06 and 818.73

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Solution

The fourth proportional to 2,574.27, 3,860.06 and 818.73 is: 1,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.27 : 3,860.06 = 818.73 : x
  2. Step 2: Convert to fraction form
    2,574.27/3,860.06 = 818.73/x
  3. Step 3: Cross multiply
    2,574.27x = 3,860.06 × 818.73
  4. Step 4: Simplify right side
    2,574.27x = 3,160,342.83
  5. Step 5: Solve for x
    x = 3,160,342.83/2,574.27
  6. Step 6: Final answer
    x = 1,227.67

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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.