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Finding the Fourth Proportional to 2,138.65, 3,201.90 and 1,648.60

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Solution

The fourth proportional to 2,138.65, 3,201.90 and 1,648.60 is: 2,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.65 : 3,201.90 = 1,648.60 : x
  2. Step 2: Convert to fraction form
    2,138.65/3,201.90 = 1,648.60/x
  3. Step 3: Cross multiply
    2,138.65x = 3,201.90 × 1,648.60
  4. Step 4: Simplify right side
    2,138.65x = 5,278,652.34
  5. Step 5: Solve for x
    x = 5,278,652.34/2,138.65
  6. Step 6: Final answer
    x = 2,468.22

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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.