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Finding the Fourth Proportional to 1,789.09, 2,683.80 and 490.57

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Solution

The fourth proportional to 1,789.09, 2,683.80 and 490.57 is: 735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.09 : 2,683.80 = 490.57 : x
  2. Step 2: Convert to fraction form
    1,789.09/2,683.80 = 490.57/x
  3. Step 3: Cross multiply
    1,789.09x = 2,683.80 × 490.57
  4. Step 4: Simplify right side
    1,789.09x = 1,316,591.77
  5. Step 5: Solve for x
    x = 1,316,591.77/1,789.09
  6. Step 6: Final answer
    x = 735.90

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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.