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Finding the Fourth Proportional to 2,160.93, 3,239.49 and 1,281.27

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Solution

The fourth proportional to 2,160.93, 3,239.49 and 1,281.27 is: 1,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.93 : 3,239.49 = 1,281.27 : x
  2. Step 2: Convert to fraction form
    2,160.93/3,239.49 = 1,281.27/x
  3. Step 3: Cross multiply
    2,160.93x = 3,239.49 × 1,281.27
  4. Step 4: Simplify right side
    2,160.93x = 4,150,660.08
  5. Step 5: Solve for x
    x = 4,150,660.08/2,160.93
  6. Step 6: Final answer
    x = 1,920.78

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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.