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Finding the Fourth Proportional to 2,138.41, 3,208.03 and 822.06

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Solution

The fourth proportional to 2,138.41, 3,208.03 and 822.06 is: 1,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.41 : 3,208.03 = 822.06 : x
  2. Step 2: Convert to fraction form
    2,138.41/3,208.03 = 822.06/x
  3. Step 3: Cross multiply
    2,138.41x = 3,208.03 × 822.06
  4. Step 4: Simplify right side
    2,138.41x = 2,637,193.14
  5. Step 5: Solve for x
    x = 2,637,193.14/2,138.41
  6. Step 6: Final answer
    x = 1,233.25

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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.