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Finding the Fourth Proportional to 2,434.24, 3,650.44 and 873.80

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Solution

The fourth proportional to 2,434.24, 3,650.44 and 873.80 is: 1,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.24 : 3,650.44 = 873.80 : x
  2. Step 2: Convert to fraction form
    2,434.24/3,650.44 = 873.80/x
  3. Step 3: Cross multiply
    2,434.24x = 3,650.44 × 873.80
  4. Step 4: Simplify right side
    2,434.24x = 3,189,754.47
  5. Step 5: Solve for x
    x = 3,189,754.47/2,434.24
  6. Step 6: Final answer
    x = 1,310.37

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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.