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Finding the Fourth Proportional to 2,033.35, 3,047.96 and 800.27

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Solution

The fourth proportional to 2,033.35, 3,047.96 and 800.27 is: 1,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.35 : 3,047.96 = 800.27 : x
  2. Step 2: Convert to fraction form
    2,033.35/3,047.96 = 800.27/x
  3. Step 3: Cross multiply
    2,033.35x = 3,047.96 × 800.27
  4. Step 4: Simplify right side
    2,033.35x = 2,439,198.57
  5. Step 5: Solve for x
    x = 2,439,198.57/2,033.35
  6. Step 6: Final answer
    x = 1,199.60

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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.