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Finding the Fourth Proportional to 2,138.44, 3,208.01 and 657.62

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Solution

The fourth proportional to 2,138.44, 3,208.01 and 657.62 is: 986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.44 : 3,208.01 = 657.62 : x
  2. Step 2: Convert to fraction form
    2,138.44/3,208.01 = 657.62/x
  3. Step 3: Cross multiply
    2,138.44x = 3,208.01 × 657.62
  4. Step 4: Simplify right side
    2,138.44x = 2,109,648.25
  5. Step 5: Solve for x
    x = 2,109,648.25/2,138.44
  6. Step 6: Final answer
    x = 986.54

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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.