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Finding the Fourth Proportional to 2,675.27, 3,695.22 and 2,589.15

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Solution

The fourth proportional to 2,675.27, 3,695.22 and 2,589.15 is: 3,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.27 : 3,695.22 = 2,589.15 : x
  2. Step 2: Convert to fraction form
    2,675.27/3,695.22 = 2,589.15/x
  3. Step 3: Cross multiply
    2,675.27x = 3,695.22 × 2,589.15
  4. Step 4: Simplify right side
    2,675.27x = 9,567,478.86
  5. Step 5: Solve for x
    x = 9,567,478.86/2,675.27
  6. Step 6: Final answer
    x = 3,576.27

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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.