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Finding the Fourth Proportional to 1,789.89, 2,684.49 and 749.61

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Solution

The fourth proportional to 1,789.89, 2,684.49 and 749.61 is: 1,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.89 : 2,684.49 = 749.61 : x
  2. Step 2: Convert to fraction form
    1,789.89/2,684.49 = 749.61/x
  3. Step 3: Cross multiply
    1,789.89x = 2,684.49 × 749.61
  4. Step 4: Simplify right side
    1,789.89x = 2,012,320.55
  5. Step 5: Solve for x
    x = 2,012,320.55/1,789.89
  6. Step 6: Final answer
    x = 1,124.27

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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.