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Finding the Fourth Proportional to 1,789.46, 2,684.19 and 490.94

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Solution

The fourth proportional to 1,789.46, 2,684.19 and 490.94 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.46 : 2,684.19 = 490.94 : x
  2. Step 2: Convert to fraction form
    1,789.46/2,684.19 = 490.94/x
  3. Step 3: Cross multiply
    1,789.46x = 2,684.19 × 490.94
  4. Step 4: Simplify right side
    1,789.46x = 1,317,776.24
  5. Step 5: Solve for x
    x = 1,317,776.24/1,789.46
  6. Step 6: Final answer
    x = 736.41

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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.