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Finding the Fourth Proportional to 2,122.41, 3,182.67 and 661.44

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Solution

The fourth proportional to 2,122.41, 3,182.67 and 661.44 is: 991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.41 : 3,182.67 = 661.44 : x
  2. Step 2: Convert to fraction form
    2,122.41/3,182.67 = 661.44/x
  3. Step 3: Cross multiply
    2,122.41x = 3,182.67 × 661.44
  4. Step 4: Simplify right side
    2,122.41x = 2,105,145.24
  5. Step 5: Solve for x
    x = 2,105,145.24/2,122.41
  6. Step 6: Final answer
    x = 991.87

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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.