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Finding the Fourth Proportional to 1,789.49, 2,680.89 and 1,596.45

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Solution

The fourth proportional to 1,789.49, 2,680.89 and 1,596.45 is: 2,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.49 : 2,680.89 = 1,596.45 : x
  2. Step 2: Convert to fraction form
    1,789.49/2,680.89 = 1,596.45/x
  3. Step 3: Cross multiply
    1,789.49x = 2,680.89 × 1,596.45
  4. Step 4: Simplify right side
    1,789.49x = 4,279,906.84
  5. Step 5: Solve for x
    x = 4,279,906.84/1,789.49
  6. Step 6: Final answer
    x = 2,391.70

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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.