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Finding the Fourth Proportional to 1,648.38, 2,273.22 and 1,206.66

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Solution

The fourth proportional to 1,648.38, 2,273.22 and 1,206.66 is: 1,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.38 : 2,273.22 = 1,206.66 : x
  2. Step 2: Convert to fraction form
    1,648.38/2,273.22 = 1,206.66/x
  3. Step 3: Cross multiply
    1,648.38x = 2,273.22 × 1,206.66
  4. Step 4: Simplify right side
    1,648.38x = 2,743,003.65
  5. Step 5: Solve for x
    x = 2,743,003.65/1,648.38
  6. Step 6: Final answer
    x = 1,664.06

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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.