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Finding the Fourth Proportional to 2,266.25, 3,399.74 and 1,033.65

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Solution

The fourth proportional to 2,266.25, 3,399.74 and 1,033.65 is: 1,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.25 : 3,399.74 = 1,033.65 : x
  2. Step 2: Convert to fraction form
    2,266.25/3,399.74 = 1,033.65/x
  3. Step 3: Cross multiply
    2,266.25x = 3,399.74 × 1,033.65
  4. Step 4: Simplify right side
    2,266.25x = 3,514,136.08
  5. Step 5: Solve for x
    x = 3,514,136.08/2,266.25
  6. Step 6: Final answer
    x = 1,550.64

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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.