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Finding the Fourth Proportional to 2,814.30, 3,900.15 and 2,774.67

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Solution

The fourth proportional to 2,814.30, 3,900.15 and 2,774.67 is: 3,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.30 : 3,900.15 = 2,774.67 : x
  2. Step 2: Convert to fraction form
    2,814.30/3,900.15 = 2,774.67/x
  3. Step 3: Cross multiply
    2,814.30x = 3,900.15 × 2,774.67
  4. Step 4: Simplify right side
    2,814.30x = 10,821,614.57
  5. Step 5: Solve for x
    x = 10,821,614.57/2,814.30
  6. Step 6: Final answer
    x = 3,845.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.