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Finding the Fourth Proportional to 1,790.37, 2,685.60 and 491.85

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Solution

The fourth proportional to 1,790.37, 2,685.60 and 491.85 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.37 : 2,685.60 = 491.85 : x
  2. Step 2: Convert to fraction form
    1,790.37/2,685.60 = 491.85/x
  3. Step 3: Cross multiply
    1,790.37x = 2,685.60 × 491.85
  4. Step 4: Simplify right side
    1,790.37x = 1,320,912.36
  5. Step 5: Solve for x
    x = 1,320,912.36/1,790.37
  6. Step 6: Final answer
    x = 737.79

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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.