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Finding the Fourth Proportional to 2,266.27, 3,400.26 and 1,542.67

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Solution

The fourth proportional to 2,266.27, 3,400.26 and 1,542.67 is: 2,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.27 : 3,400.26 = 1,542.67 : x
  2. Step 2: Convert to fraction form
    2,266.27/3,400.26 = 1,542.67/x
  3. Step 3: Cross multiply
    2,266.27x = 3,400.26 × 1,542.67
  4. Step 4: Simplify right side
    2,266.27x = 5,245,479.09
  5. Step 5: Solve for x
    x = 5,245,479.09/2,266.27
  6. Step 6: Final answer
    x = 2,314.59

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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.