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Finding the Fourth Proportional to 2,393.27, 3,589.49 and 661.89

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Solution

The fourth proportional to 2,393.27, 3,589.49 and 661.89 is: 992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.27 : 3,589.49 = 661.89 : x
  2. Step 2: Convert to fraction form
    2,393.27/3,589.49 = 661.89/x
  3. Step 3: Cross multiply
    2,393.27x = 3,589.49 × 661.89
  4. Step 4: Simplify right side
    2,393.27x = 2,375,847.54
  5. Step 5: Solve for x
    x = 2,375,847.54/2,393.27
  6. Step 6: Final answer
    x = 992.72

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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.