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Finding the Fourth Proportional to 2,443.02, 3,662.91 and 798.99

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Solution

The fourth proportional to 2,443.02, 3,662.91 and 798.99 is: 1,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.02 : 3,662.91 = 798.99 : x
  2. Step 2: Convert to fraction form
    2,443.02/3,662.91 = 798.99/x
  3. Step 3: Cross multiply
    2,443.02x = 3,662.91 × 798.99
  4. Step 4: Simplify right side
    2,443.02x = 2,926,628.46
  5. Step 5: Solve for x
    x = 2,926,628.46/2,443.02
  6. Step 6: Final answer
    x = 1,197.96

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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.