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Finding the Fourth Proportional to 2,033.68, 3,051.27 and 1,244.65

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Solution

The fourth proportional to 2,033.68, 3,051.27 and 1,244.65 is: 1,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.68 : 3,051.27 = 1,244.65 : x
  2. Step 2: Convert to fraction form
    2,033.68/3,051.27 = 1,244.65/x
  3. Step 3: Cross multiply
    2,033.68x = 3,051.27 × 1,244.65
  4. Step 4: Simplify right side
    2,033.68x = 3,797,763.21
  5. Step 5: Solve for x
    x = 3,797,763.21/2,033.68
  6. Step 6: Final answer
    x = 1,867.43

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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.