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Finding the Fourth Proportional to 2,065.33, 2,850.06 and 1,169.11

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Solution

The fourth proportional to 2,065.33, 2,850.06 and 1,169.11 is: 1,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.33 : 2,850.06 = 1,169.11 : x
  2. Step 2: Convert to fraction form
    2,065.33/2,850.06 = 1,169.11/x
  3. Step 3: Cross multiply
    2,065.33x = 2,850.06 × 1,169.11
  4. Step 4: Simplify right side
    2,065.33x = 3,332,033.65
  5. Step 5: Solve for x
    x = 3,332,033.65/2,065.33
  6. Step 6: Final answer
    x = 1,613.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.