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Finding the Fourth Proportional to 2,138.25, 3,206.81 and 732.65

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Solution

The fourth proportional to 2,138.25, 3,206.81 and 732.65 is: 1,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.25 : 3,206.81 = 732.65 : x
  2. Step 2: Convert to fraction form
    2,138.25/3,206.81 = 732.65/x
  3. Step 3: Cross multiply
    2,138.25x = 3,206.81 × 732.65
  4. Step 4: Simplify right side
    2,138.25x = 2,349,449.65
  5. Step 5: Solve for x
    x = 2,349,449.65/2,138.25
  6. Step 6: Final answer
    x = 1,098.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.