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Finding the Fourth Proportional to 1,789.70, 2,469.83 and 1,193.20

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Solution

The fourth proportional to 1,789.70, 2,469.83 and 1,193.20 is: 1,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.70 : 2,469.83 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    1,789.70/2,469.83 = 1,193.20/x
  3. Step 3: Cross multiply
    1,789.70x = 2,469.83 × 1,193.20
  4. Step 4: Simplify right side
    1,789.70x = 2,946,989.02
  5. Step 5: Solve for x
    x = 2,946,989.02/1,789.70
  6. Step 6: Final answer
    x = 1,646.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.