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Finding the Fourth Proportional to 2,756.33, 3,800.27 and 2,302.27

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Solution

The fourth proportional to 2,756.33, 3,800.27 and 2,302.27 is: 3,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.33 : 3,800.27 = 2,302.27 : x
  2. Step 2: Convert to fraction form
    2,756.33/3,800.27 = 2,302.27/x
  3. Step 3: Cross multiply
    2,756.33x = 3,800.27 × 2,302.27
  4. Step 4: Simplify right side
    2,756.33x = 8,749,252.29
  5. Step 5: Solve for x
    x = 8,749,252.29/2,756.33
  6. Step 6: Final answer
    x = 3,174.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.