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Finding the Fourth Proportional to 2,675.14, 4,013.31 and 943.90

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Solution

The fourth proportional to 2,675.14, 4,013.31 and 943.90 is: 1,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.14 : 4,013.31 = 943.90 : x
  2. Step 2: Convert to fraction form
    2,675.14/4,013.31 = 943.90/x
  3. Step 3: Cross multiply
    2,675.14x = 4,013.31 × 943.90
  4. Step 4: Simplify right side
    2,675.14x = 3,788,163.31
  5. Step 5: Solve for x
    x = 3,788,163.31/2,675.14
  6. Step 6: Final answer
    x = 1,416.06

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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.