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Finding the Fourth Proportional to 2,675.09, 4,011.83 and 943.31

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Solution

The fourth proportional to 2,675.09, 4,011.83 and 943.31 is: 1,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.09 : 4,011.83 = 943.31 : x
  2. Step 2: Convert to fraction form
    2,675.09/4,011.83 = 943.31/x
  3. Step 3: Cross multiply
    2,675.09x = 4,011.83 × 943.31
  4. Step 4: Simplify right side
    2,675.09x = 3,784,408.21
  5. Step 5: Solve for x
    x = 3,784,408.21/2,675.09
  6. Step 6: Final answer
    x = 1,414.68

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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.