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Finding the Fourth Proportional to 3,207.81, 4,813.41 and 2,276.78

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Solution

The fourth proportional to 3,207.81, 4,813.41 and 2,276.78 is: 3,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.81 : 4,813.41 = 2,276.78 : x
  2. Step 2: Convert to fraction form
    3,207.81/4,813.41 = 2,276.78/x
  3. Step 3: Cross multiply
    3,207.81x = 4,813.41 × 2,276.78
  4. Step 4: Simplify right side
    3,207.81x = 10,959,051.55
  5. Step 5: Solve for x
    x = 10,959,051.55/3,207.81
  6. Step 6: Final answer
    x = 3,416.37

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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.