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Finding the Fourth Proportional to 2,760.69, 3,814.50 and 2,428.55

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Solution

The fourth proportional to 2,760.69, 3,814.50 and 2,428.55 is: 3,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.69 : 3,814.50 = 2,428.55 : x
  2. Step 2: Convert to fraction form
    2,760.69/3,814.50 = 2,428.55/x
  3. Step 3: Cross multiply
    2,760.69x = 3,814.50 × 2,428.55
  4. Step 4: Simplify right side
    2,760.69x = 9,263,684.90
  5. Step 5: Solve for x
    x = 9,263,684.90/2,760.69
  6. Step 6: Final answer
    x = 3,355.57

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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.