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Finding the Fourth Proportional to 2,033.83, 3,049.37 and 937.60

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Solution

The fourth proportional to 2,033.83, 3,049.37 and 937.60 is: 1,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.83 : 3,049.37 = 937.60 : x
  2. Step 2: Convert to fraction form
    2,033.83/3,049.37 = 937.60/x
  3. Step 3: Cross multiply
    2,033.83x = 3,049.37 × 937.60
  4. Step 4: Simplify right side
    2,033.83x = 2,859,074.07
  5. Step 5: Solve for x
    x = 2,859,074.07/2,033.83
  6. Step 6: Final answer
    x = 1,405.76

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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.