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Finding the Fourth Proportional to 1,662.61, 2,493.93 and 796.72

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Solution

The fourth proportional to 1,662.61, 2,493.93 and 796.72 is: 1,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.61 : 2,493.93 = 796.72 : x
  2. Step 2: Convert to fraction form
    1,662.61/2,493.93 = 796.72/x
  3. Step 3: Cross multiply
    1,662.61x = 2,493.93 × 796.72
  4. Step 4: Simplify right side
    1,662.61x = 1,986,960.66
  5. Step 5: Solve for x
    x = 1,986,960.66/1,662.61
  6. Step 6: Final answer
    x = 1,195.09

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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.