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Finding the Fourth Proportional to 2,120.81, 3,177.73 and 733.39

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Solution

The fourth proportional to 2,120.81, 3,177.73 and 733.39 is: 1,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.81 : 3,177.73 = 733.39 : x
  2. Step 2: Convert to fraction form
    2,120.81/3,177.73 = 733.39/x
  3. Step 3: Cross multiply
    2,120.81x = 3,177.73 × 733.39
  4. Step 4: Simplify right side
    2,120.81x = 2,330,515.40
  5. Step 5: Solve for x
    x = 2,330,515.40/2,120.81
  6. Step 6: Final answer
    x = 1,098.88

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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.